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Finding the Fourth Proportional to 6,507.28, 8,980.14 and 3,712.78

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Solution

The fourth proportional to 6,507.28, 8,980.14 and 3,712.78 is: 5,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.28 : 8,980.14 = 3,712.78 : x
  2. Step 2: Convert to fraction form
    6,507.28/8,980.14 = 3,712.78/x
  3. Step 3: Cross multiply
    6,507.28x = 8,980.14 × 3,712.78
  4. Step 4: Simplify right side
    6,507.28x = 33,341,284.19
  5. Step 5: Solve for x
    x = 33,341,284.19/6,507.28
  6. Step 6: Final answer
    x = 5,123.69

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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.