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Finding the Fourth Proportional to 10,263, 14,162.94 and 6,539.16

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Solution

The fourth proportional to 10,263, 14,162.94 and 6,539.16 is: 9,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263 : 14,162.94 = 6,539.16 : x
  2. Step 2: Convert to fraction form
    10,263/14,162.94 = 6,539.16/x
  3. Step 3: Cross multiply
    10,263x = 14,162.94 × 6,539.16
  4. Step 4: Simplify right side
    10,263x = 92,613,730.73
  5. Step 5: Solve for x
    x = 92,613,730.73/10,263
  6. Step 6: Final answer
    x = 9,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.