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Finding the Fourth Proportional to 16,470.70, 22,729.40 and 8,916.83

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Solution

The fourth proportional to 16,470.70, 22,729.40 and 8,916.83 is: 12,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.70 : 22,729.40 = 8,916.83 : x
  2. Step 2: Convert to fraction form
    16,470.70/22,729.40 = 8,916.83/x
  3. Step 3: Cross multiply
    16,470.70x = 22,729.40 × 8,916.83
  4. Step 4: Simplify right side
    16,470.70x = 202,674,116.69
  5. Step 5: Solve for x
    x = 202,674,116.69/16,470.70
  6. Step 6: Final answer
    x = 12,305.13

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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.