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Finding the Fourth Proportional to 10,507.03, 14,502.17 and 6,531.14

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Solution

The fourth proportional to 10,507.03, 14,502.17 and 6,531.14 is: 9,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.03 : 14,502.17 = 6,531.14 : x
  2. Step 2: Convert to fraction form
    10,507.03/14,502.17 = 6,531.14/x
  3. Step 3: Cross multiply
    10,507.03x = 14,502.17 × 6,531.14
  4. Step 4: Simplify right side
    10,507.03x = 94,715,669.92
  5. Step 5: Solve for x
    x = 94,715,669.92/10,507.03
  6. Step 6: Final answer
    x = 9,014.51

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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.