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Finding the Fourth Proportional to 7,149.90, 9,866.86 and 4,006.10

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Solution

The fourth proportional to 7,149.90, 9,866.86 and 4,006.10 is: 5,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.90 : 9,866.86 = 4,006.10 : x
  2. Step 2: Convert to fraction form
    7,149.90/9,866.86 = 4,006.10/x
  3. Step 3: Cross multiply
    7,149.90x = 9,866.86 × 4,006.10
  4. Step 4: Simplify right side
    7,149.90x = 39,527,627.85
  5. Step 5: Solve for x
    x = 39,527,627.85/7,149.90
  6. Step 6: Final answer
    x = 5,528.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.