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Finding the Fourth Proportional to 6,358.46, 9,530.31 and 2,407.20

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Solution

The fourth proportional to 6,358.46, 9,530.31 and 2,407.20 is: 3,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.46 : 9,530.31 = 2,407.20 : x
  2. Step 2: Convert to fraction form
    6,358.46/9,530.31 = 2,407.20/x
  3. Step 3: Cross multiply
    6,358.46x = 9,530.31 × 2,407.20
  4. Step 4: Simplify right side
    6,358.46x = 22,941,355.48
  5. Step 5: Solve for x
    x = 22,941,355.48/6,358.46
  6. Step 6: Final answer
    x = 3,608.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.