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Finding the Fourth Proportional to 34,702.38, 52,053.52 and 8,407.05

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Solution

The fourth proportional to 34,702.38, 52,053.52 and 8,407.05 is: 12,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.38 : 52,053.52 = 8,407.05 : x
  2. Step 2: Convert to fraction form
    34,702.38/52,053.52 = 8,407.05/x
  3. Step 3: Cross multiply
    34,702.38x = 52,053.52 × 8,407.05
  4. Step 4: Simplify right side
    34,702.38x = 437,616,545.32
  5. Step 5: Solve for x
    x = 437,616,545.32/34,702.38
  6. Step 6: Final answer
    x = 12,610.56

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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.