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Finding the Fourth Proportional to 6,871.48, 10,307.96 and 2,254.84

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Solution

The fourth proportional to 6,871.48, 10,307.96 and 2,254.84 is: 3,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.48 : 10,307.96 = 2,254.84 : x
  2. Step 2: Convert to fraction form
    6,871.48/10,307.96 = 2,254.84/x
  3. Step 3: Cross multiply
    6,871.48x = 10,307.96 × 2,254.84
  4. Step 4: Simplify right side
    6,871.48x = 23,242,800.53
  5. Step 5: Solve for x
    x = 23,242,800.53/6,871.48
  6. Step 6: Final answer
    x = 3,382.50

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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.