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Finding the Fourth Proportional to 10,598, 15,883.60 and 9,278.52

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Solution

The fourth proportional to 10,598, 15,883.60 and 9,278.52 is: 13,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598 : 15,883.60 = 9,278.52 : x
  2. Step 2: Convert to fraction form
    10,598/15,883.60 = 9,278.52/x
  3. Step 3: Cross multiply
    10,598x = 15,883.60 × 9,278.52
  4. Step 4: Simplify right side
    10,598x = 147,376,300.27
  5. Step 5: Solve for x
    x = 147,376,300.27/10,598
  6. Step 6: Final answer
    x = 13,906.05

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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.