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Finding the Fourth Proportional to 11,246.40, 15,490.08 and 9,748.80

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Solution

The fourth proportional to 11,246.40, 15,490.08 and 9,748.80 is: 13,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.40 : 15,490.08 = 9,748.80 : x
  2. Step 2: Convert to fraction form
    11,246.40/15,490.08 = 9,748.80/x
  3. Step 3: Cross multiply
    11,246.40x = 15,490.08 × 9,748.80
  4. Step 4: Simplify right side
    11,246.40x = 151,009,691.90
  5. Step 5: Solve for x
    x = 151,009,691.90/11,246.40
  6. Step 6: Final answer
    x = 13,427.38

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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.