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Finding the Fourth Proportional to 10,242.17, 15,376.22 and 6,283.70

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Solution

The fourth proportional to 10,242.17, 15,376.22 and 6,283.70 is: 9,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.17 : 15,376.22 = 6,283.70 : x
  2. Step 2: Convert to fraction form
    10,242.17/15,376.22 = 6,283.70/x
  3. Step 3: Cross multiply
    10,242.17x = 15,376.22 × 6,283.70
  4. Step 4: Simplify right side
    10,242.17x = 96,619,445.31
  5. Step 5: Solve for x
    x = 96,619,445.31/10,242.17
  6. Step 6: Final answer
    x = 9,433.50

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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.