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Finding the Fourth Proportional to 16,567, 22,862.46 and 9,115

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Solution

The fourth proportional to 16,567, 22,862.46 and 9,115 is: 12,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567 : 22,862.46 = 9,115 : x
  2. Step 2: Convert to fraction form
    16,567/22,862.46 = 9,115/x
  3. Step 3: Cross multiply
    16,567x = 22,862.46 × 9,115
  4. Step 4: Simplify right side
    16,567x = 208,391,322.90
  5. Step 5: Solve for x
    x = 208,391,322.90/16,567
  6. Step 6: Final answer
    x = 12,578.70

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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.