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Finding the Fourth Proportional to 6,577.71, 9,866.57 and 3,287.49

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Solution

The fourth proportional to 6,577.71, 9,866.57 and 3,287.49 is: 4,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.71 : 9,866.57 = 3,287.49 : x
  2. Step 2: Convert to fraction form
    6,577.71/9,866.57 = 3,287.49/x
  3. Step 3: Cross multiply
    6,577.71x = 9,866.57 × 3,287.49
  4. Step 4: Simplify right side
    6,577.71x = 32,436,233.77
  5. Step 5: Solve for x
    x = 32,436,233.77/6,577.71
  6. Step 6: Final answer
    x = 4,931.24

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.