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Finding the Fourth Proportional to 7,132, 9,842.16 and 4,648

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Solution

The fourth proportional to 7,132, 9,842.16 and 4,648 is: 6,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132 : 9,842.16 = 4,648 : x
  2. Step 2: Convert to fraction form
    7,132/9,842.16 = 4,648/x
  3. Step 3: Cross multiply
    7,132x = 9,842.16 × 4,648
  4. Step 4: Simplify right side
    7,132x = 45,746,359.68
  5. Step 5: Solve for x
    x = 45,746,359.68/7,132
  6. Step 6: Final answer
    x = 6,414.24

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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.