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Finding the Fourth Proportional to 34,301.90, 51,452.85 and 9,677.90

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Solution

The fourth proportional to 34,301.90, 51,452.85 and 9,677.90 is: 14,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,301.90 : 51,452.85 = 9,677.90 : x
  2. Step 2: Convert to fraction form
    34,301.90/51,452.85 = 9,677.90/x
  3. Step 3: Cross multiply
    34,301.90x = 51,452.85 × 9,677.90
  4. Step 4: Simplify right side
    34,301.90x = 497,955,537.02
  5. Step 5: Solve for x
    x = 497,955,537.02/34,301.90
  6. Step 6: Final answer
    x = 14,516.85

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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.