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Finding the Fourth Proportional to 6,374.14, 9,598.65 and 5,562.10

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Solution

The fourth proportional to 6,374.14, 9,598.65 and 5,562.10 is: 8,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.14 : 9,598.65 = 5,562.10 : x
  2. Step 2: Convert to fraction form
    6,374.14/9,598.65 = 5,562.10/x
  3. Step 3: Cross multiply
    6,374.14x = 9,598.65 × 5,562.10
  4. Step 4: Simplify right side
    6,374.14x = 53,388,651.17
  5. Step 5: Solve for x
    x = 53,388,651.17/6,374.14
  6. Step 6: Final answer
    x = 8,375.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.