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Finding the Fourth Proportional to 7,001.60, 10,503 and 2,560.48

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Solution

The fourth proportional to 7,001.60, 10,503 and 2,560.48 is: 3,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.60 : 10,503 = 2,560.48 : x
  2. Step 2: Convert to fraction form
    7,001.60/10,503 = 2,560.48/x
  3. Step 3: Cross multiply
    7,001.60x = 10,503 × 2,560.48
  4. Step 4: Simplify right side
    7,001.60x = 26,892,721.44
  5. Step 5: Solve for x
    x = 26,892,721.44/7,001.60
  6. Step 6: Final answer
    x = 3,840.94

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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.