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Finding the Fourth Proportional to 8,014.14, 11,053.95 and 7,353.18

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Solution

The fourth proportional to 8,014.14, 11,053.95 and 7,353.18 is: 10,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.14 : 11,053.95 = 7,353.18 : x
  2. Step 2: Convert to fraction form
    8,014.14/11,053.95 = 7,353.18/x
  3. Step 3: Cross multiply
    8,014.14x = 11,053.95 × 7,353.18
  4. Step 4: Simplify right side
    8,014.14x = 81,281,684.06
  5. Step 5: Solve for x
    x = 81,281,684.06/8,014.14
  6. Step 6: Final answer
    x = 10,142.28

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Half scale
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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.