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Finding the Fourth Proportional to 6,565.92, 9,059.28 and 4,357.92

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Solution

The fourth proportional to 6,565.92, 9,059.28 and 4,357.92 is: 6,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.92 : 9,059.28 = 4,357.92 : x
  2. Step 2: Convert to fraction form
    6,565.92/9,059.28 = 4,357.92/x
  3. Step 3: Cross multiply
    6,565.92x = 9,059.28 × 4,357.92
  4. Step 4: Simplify right side
    6,565.92x = 39,479,617.50
  5. Step 5: Solve for x
    x = 39,479,617.50/6,565.92
  6. Step 6: Final answer
    x = 6,012.81

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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.