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Finding the Fourth Proportional to 7,585.92, 10,509.21 and 7,404.48

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Solution

The fourth proportional to 7,585.92, 10,509.21 and 7,404.48 is: 10,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.92 : 10,509.21 = 7,404.48 : x
  2. Step 2: Convert to fraction form
    7,585.92/10,509.21 = 7,404.48/x
  3. Step 3: Cross multiply
    7,585.92x = 10,509.21 × 7,404.48
  4. Step 4: Simplify right side
    7,585.92x = 77,815,235.26
  5. Step 5: Solve for x
    x = 77,815,235.26/7,585.92
  6. Step 6: Final answer
    x = 10,257.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.