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Finding the Fourth Proportional to 10,493.16, 15,738.62 and 6,585.96

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Solution

The fourth proportional to 10,493.16, 15,738.62 and 6,585.96 is: 9,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.16 : 15,738.62 = 6,585.96 : x
  2. Step 2: Convert to fraction form
    10,493.16/15,738.62 = 6,585.96/x
  3. Step 3: Cross multiply
    10,493.16x = 15,738.62 × 6,585.96
  4. Step 4: Simplify right side
    10,493.16x = 103,653,921.78
  5. Step 5: Solve for x
    x = 103,653,921.78/10,493.16
  6. Step 6: Final answer
    x = 9,878.24

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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.