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Finding the Fourth Proportional to 7,585.92, 10,469.52 and 5,101.92

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Solution

The fourth proportional to 7,585.92, 10,469.52 and 5,101.92 is: 7,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.92 : 10,469.52 = 5,101.92 : x
  2. Step 2: Convert to fraction form
    7,585.92/10,469.52 = 5,101.92/x
  3. Step 3: Cross multiply
    7,585.92x = 10,469.52 × 5,101.92
  4. Step 4: Simplify right side
    7,585.92x = 53,414,653.48
  5. Step 5: Solve for x
    x = 53,414,653.48/7,585.92
  6. Step 6: Final answer
    x = 7,041.29

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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.