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Finding the Fourth Proportional to 34,709.47, 52,064.25 and 8,414.17

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Solution

The fourth proportional to 34,709.47, 52,064.25 and 8,414.17 is: 12,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.47 : 52,064.25 = 8,414.17 : x
  2. Step 2: Convert to fraction form
    34,709.47/52,064.25 = 8,414.17/x
  3. Step 3: Cross multiply
    34,709.47x = 52,064.25 × 8,414.17
  4. Step 4: Simplify right side
    34,709.47x = 438,077,450.42
  5. Step 5: Solve for x
    x = 438,077,450.42/34,709.47
  6. Step 6: Final answer
    x = 12,621.27

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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.