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Finding the Fourth Proportional to 10,472.59, 15,705.79 and 4,469.65

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Solution

The fourth proportional to 10,472.59, 15,705.79 and 4,469.65 is: 6,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.59 : 15,705.79 = 4,469.65 : x
  2. Step 2: Convert to fraction form
    10,472.59/15,705.79 = 4,469.65/x
  3. Step 3: Cross multiply
    10,472.59x = 15,705.79 × 4,469.65
  4. Step 4: Simplify right side
    10,472.59x = 70,199,384.27
  5. Step 5: Solve for x
    x = 70,199,384.27/10,472.59
  6. Step 6: Final answer
    x = 6,703.15

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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.