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Finding the Fourth Proportional to 12,624.30, 17,407.17 and 10,348.50

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Solution

The fourth proportional to 12,624.30, 17,407.17 and 10,348.50 is: 14,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.30 : 17,407.17 = 10,348.50 : x
  2. Step 2: Convert to fraction form
    12,624.30/17,407.17 = 10,348.50/x
  3. Step 3: Cross multiply
    12,624.30x = 17,407.17 × 10,348.50
  4. Step 4: Simplify right side
    12,624.30x = 180,138,098.75
  5. Step 5: Solve for x
    x = 180,138,098.75/12,624.30
  6. Step 6: Final answer
    x = 14,269.16

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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.