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Finding the Fourth Proportional to 7,134.88, 9,844.56 and 5,458.20

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Solution

The fourth proportional to 7,134.88, 9,844.56 and 5,458.20 is: 7,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.88 : 9,844.56 = 5,458.20 : x
  2. Step 2: Convert to fraction form
    7,134.88/9,844.56 = 5,458.20/x
  3. Step 3: Cross multiply
    7,134.88x = 9,844.56 × 5,458.20
  4. Step 4: Simplify right side
    7,134.88x = 53,733,577.39
  5. Step 5: Solve for x
    x = 53,733,577.39/7,134.88
  6. Step 6: Final answer
    x = 7,531.11

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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.