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Finding the Fourth Proportional to 16,466.71, 22,729.17 and 9,397.84

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Solution

The fourth proportional to 16,466.71, 22,729.17 and 9,397.84 is: 12,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.71 : 22,729.17 = 9,397.84 : x
  2. Step 2: Convert to fraction form
    16,466.71/22,729.17 = 9,397.84/x
  3. Step 3: Cross multiply
    16,466.71x = 22,729.17 × 9,397.84
  4. Step 4: Simplify right side
    16,466.71x = 213,605,102.99
  5. Step 5: Solve for x
    x = 213,605,102.99/16,466.71
  6. Step 6: Final answer
    x = 12,971.94

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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.