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Finding the Fourth Proportional to 10,343.71, 14,275.10 and 6,310.18

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Solution

The fourth proportional to 10,343.71, 14,275.10 and 6,310.18 is: 8,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.71 : 14,275.10 = 6,310.18 : x
  2. Step 2: Convert to fraction form
    10,343.71/14,275.10 = 6,310.18/x
  3. Step 3: Cross multiply
    10,343.71x = 14,275.10 × 6,310.18
  4. Step 4: Simplify right side
    10,343.71x = 90,078,430.61
  5. Step 5: Solve for x
    x = 90,078,430.61/10,343.71
  6. Step 6: Final answer
    x = 8,708.52

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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.