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Finding the Fourth Proportional to 6,871.50, 10,307.75 and 5,034.24

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Solution

The fourth proportional to 6,871.50, 10,307.75 and 5,034.24 is: 7,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.50 : 10,307.75 = 5,034.24 : x
  2. Step 2: Convert to fraction form
    6,871.50/10,307.75 = 5,034.24/x
  3. Step 3: Cross multiply
    6,871.50x = 10,307.75 × 5,034.24
  4. Step 4: Simplify right side
    6,871.50x = 51,891,662.19
  5. Step 5: Solve for x
    x = 51,891,662.19/6,871.50
  6. Step 6: Final answer
    x = 7,551.72

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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.