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Finding the Fourth Proportional to 6,712.77, 9,246.24 and 5,649.24

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Solution

The fourth proportional to 6,712.77, 9,246.24 and 5,649.24 is: 7,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.77 : 9,246.24 = 5,649.24 : x
  2. Step 2: Convert to fraction form
    6,712.77/9,246.24 = 5,649.24/x
  3. Step 3: Cross multiply
    6,712.77x = 9,246.24 × 5,649.24
  4. Step 4: Simplify right side
    6,712.77x = 52,234,228.86
  5. Step 5: Solve for x
    x = 52,234,228.86/6,712.77
  6. Step 6: Final answer
    x = 7,781.32

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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.