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Finding the Fourth Proportional to 11,597.48, 16,011.57 and 7,349.23

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Solution

The fourth proportional to 11,597.48, 16,011.57 and 7,349.23 is: 10,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.48 : 16,011.57 = 7,349.23 : x
  2. Step 2: Convert to fraction form
    11,597.48/16,011.57 = 7,349.23/x
  3. Step 3: Cross multiply
    11,597.48x = 16,011.57 × 7,349.23
  4. Step 4: Simplify right side
    11,597.48x = 117,672,758.17
  5. Step 5: Solve for x
    x = 117,672,758.17/11,597.48
  6. Step 6: Final answer
    x = 10,146.41

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Double scale
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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.