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Finding the Fourth Proportional to 7,203.56, 9,942.18 and 6,875.24

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Solution

The fourth proportional to 7,203.56, 9,942.18 and 6,875.24 is: 9,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.56 : 9,942.18 = 6,875.24 : x
  2. Step 2: Convert to fraction form
    7,203.56/9,942.18 = 6,875.24/x
  3. Step 3: Cross multiply
    7,203.56x = 9,942.18 × 6,875.24
  4. Step 4: Simplify right side
    7,203.56x = 68,354,873.62
  5. Step 5: Solve for x
    x = 68,354,873.62/7,203.56
  6. Step 6: Final answer
    x = 9,489.04

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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.