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Finding the Fourth Proportional to 9,488.64, 14,215.68 and 6,996

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Solution

The fourth proportional to 9,488.64, 14,215.68 and 6,996 is: 10,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.64 : 14,215.68 = 6,996 : x
  2. Step 2: Convert to fraction form
    9,488.64/14,215.68 = 6,996/x
  3. Step 3: Cross multiply
    9,488.64x = 14,215.68 × 6,996
  4. Step 4: Simplify right side
    9,488.64x = 99,452,897.28
  5. Step 5: Solve for x
    x = 99,452,897.28/9,488.64
  6. Step 6: Final answer
    x = 10,481.26

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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.