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Finding the Fourth Proportional to 11,600.34, 16,002.14 and 7,343.62

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Solution

The fourth proportional to 11,600.34, 16,002.14 and 7,343.62 is: 10,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.34 : 16,002.14 = 7,343.62 : x
  2. Step 2: Convert to fraction form
    11,600.34/16,002.14 = 7,343.62/x
  3. Step 3: Cross multiply
    11,600.34x = 16,002.14 × 7,343.62
  4. Step 4: Simplify right side
    11,600.34x = 117,513,635.35
  5. Step 5: Solve for x
    x = 117,513,635.35/11,600.34
  6. Step 6: Final answer
    x = 10,130.19

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.