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Finding the Fourth Proportional to 9,170.64, 12,650.76 and 5,807.76

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Solution

The fourth proportional to 9,170.64, 12,650.76 and 5,807.76 is: 8,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.64 : 12,650.76 = 5,807.76 : x
  2. Step 2: Convert to fraction form
    9,170.64/12,650.76 = 5,807.76/x
  3. Step 3: Cross multiply
    9,170.64x = 12,650.76 × 5,807.76
  4. Step 4: Simplify right side
    9,170.64x = 73,472,577.90
  5. Step 5: Solve for x
    x = 73,472,577.90/9,170.64
  6. Step 6: Final answer
    x = 8,011.72

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Half scale
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Double scale
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Similar ratio
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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.