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Finding the Fourth Proportional to 7,565.57, 10,442.76 and 4,913.36

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Solution

The fourth proportional to 7,565.57, 10,442.76 and 4,913.36 is: 6,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.57 : 10,442.76 = 4,913.36 : x
  2. Step 2: Convert to fraction form
    7,565.57/10,442.76 = 4,913.36/x
  3. Step 3: Cross multiply
    7,565.57x = 10,442.76 × 4,913.36
  4. Step 4: Simplify right side
    7,565.57x = 51,309,039.27
  5. Step 5: Solve for x
    x = 51,309,039.27/7,565.57
  6. Step 6: Final answer
    x = 6,781.91

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Half scale
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Double scale
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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.