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Finding the Fourth Proportional to 7,565.60, 11,348.40 and 2,948.60

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Solution

The fourth proportional to 7,565.60, 11,348.40 and 2,948.60 is: 4,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.60 : 11,348.40 = 2,948.60 : x
  2. Step 2: Convert to fraction form
    7,565.60/11,348.40 = 2,948.60/x
  3. Step 3: Cross multiply
    7,565.60x = 11,348.40 × 2,948.60
  4. Step 4: Simplify right side
    7,565.60x = 33,461,892.24
  5. Step 5: Solve for x
    x = 33,461,892.24/7,565.60
  6. Step 6: Final answer
    x = 4,422.90

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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.