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Finding the Fourth Proportional to 6,577.40, 9,890.40 and 5,508.20

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Solution

The fourth proportional to 6,577.40, 9,890.40 and 5,508.20 is: 8,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.40 : 9,890.40 = 5,508.20 : x
  2. Step 2: Convert to fraction form
    6,577.40/9,890.40 = 5,508.20/x
  3. Step 3: Cross multiply
    6,577.40x = 9,890.40 × 5,508.20
  4. Step 4: Simplify right side
    6,577.40x = 54,478,301.28
  5. Step 5: Solve for x
    x = 54,478,301.28/6,577.40
  6. Step 6: Final answer
    x = 8,282.65

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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.