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Finding the Fourth Proportional to 34,706.20, 52,053.90 and 9,743.80

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Solution

The fourth proportional to 34,706.20, 52,053.90 and 9,743.80 is: 14,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.20 : 52,053.90 = 9,743.80 : x
  2. Step 2: Convert to fraction form
    34,706.20/52,053.90 = 9,743.80/x
  3. Step 3: Cross multiply
    34,706.20x = 52,053.90 × 9,743.80
  4. Step 4: Simplify right side
    34,706.20x = 507,202,790.82
  5. Step 5: Solve for x
    x = 507,202,790.82/34,706.20
  6. Step 6: Final answer
    x = 14,614.18

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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.