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Finding the Fourth Proportional to 13,234.71, 18,264.19 and 7,569.98

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Solution

The fourth proportional to 13,234.71, 18,264.19 and 7,569.98 is: 10,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.71 : 18,264.19 = 7,569.98 : x
  2. Step 2: Convert to fraction form
    13,234.71/18,264.19 = 7,569.98/x
  3. Step 3: Cross multiply
    13,234.71x = 18,264.19 × 7,569.98
  4. Step 4: Simplify right side
    13,234.71x = 138,259,553.02
  5. Step 5: Solve for x
    x = 138,259,553.02/13,234.71
  6. Step 6: Final answer
    x = 10,446.74

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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.