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Finding the Fourth Proportional to 6,974.04, 9,618.52 and 6,132.96

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Solution

The fourth proportional to 6,974.04, 9,618.52 and 6,132.96 is: 8,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.04 : 9,618.52 = 6,132.96 : x
  2. Step 2: Convert to fraction form
    6,974.04/9,618.52 = 6,132.96/x
  3. Step 3: Cross multiply
    6,974.04x = 9,618.52 × 6,132.96
  4. Step 4: Simplify right side
    6,974.04x = 58,989,998.42
  5. Step 5: Solve for x
    x = 58,989,998.42/6,974.04
  6. Step 6: Final answer
    x = 8,458.51

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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.