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Finding the Fourth Proportional to 7,098.14, 9,724.50 and 6,832.11

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Solution

The fourth proportional to 7,098.14, 9,724.50 and 6,832.11 is: 9,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.14 : 9,724.50 = 6,832.11 : x
  2. Step 2: Convert to fraction form
    7,098.14/9,724.50 = 6,832.11/x
  3. Step 3: Cross multiply
    7,098.14x = 9,724.50 × 6,832.11
  4. Step 4: Simplify right side
    7,098.14x = 66,438,853.70
  5. Step 5: Solve for x
    x = 66,438,853.70/7,098.14
  6. Step 6: Final answer
    x = 9,360.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.