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Finding the Fourth Proportional to 10,598.31, 15,922.10 and 7,695.14

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Solution

The fourth proportional to 10,598.31, 15,922.10 and 7,695.14 is: 11,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.31 : 15,922.10 = 7,695.14 : x
  2. Step 2: Convert to fraction form
    10,598.31/15,922.10 = 7,695.14/x
  3. Step 3: Cross multiply
    10,598.31x = 15,922.10 × 7,695.14
  4. Step 4: Simplify right side
    10,598.31x = 122,522,728.22
  5. Step 5: Solve for x
    x = 122,522,728.22/10,598.31
  6. Step 6: Final answer
    x = 11,560.59

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1.5x scale

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.