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Finding the Fourth Proportional to 16,470.71, 24,706.07 and 7,711.77

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Solution

The fourth proportional to 16,470.71, 24,706.07 and 7,711.77 is: 11,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.71 : 24,706.07 = 7,711.77 : x
  2. Step 2: Convert to fraction form
    16,470.71/24,706.07 = 7,711.77/x
  3. Step 3: Cross multiply
    16,470.71x = 24,706.07 × 7,711.77
  4. Step 4: Simplify right side
    16,470.71x = 190,527,529.44
  5. Step 5: Solve for x
    x = 190,527,529.44/16,470.71
  6. Step 6: Final answer
    x = 11,567.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.