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Finding the Fourth Proportional to 10,459.66, 14,445.66 and 6,490.24

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Solution

The fourth proportional to 10,459.66, 14,445.66 and 6,490.24 is: 8,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.66 : 14,445.66 = 6,490.24 : x
  2. Step 2: Convert to fraction form
    10,459.66/14,445.66 = 6,490.24/x
  3. Step 3: Cross multiply
    10,459.66x = 14,445.66 × 6,490.24
  4. Step 4: Simplify right side
    10,459.66x = 93,755,800.36
  5. Step 5: Solve for x
    x = 93,755,800.36/10,459.66
  6. Step 6: Final answer
    x = 8,963.56

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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.