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Finding the Fourth Proportional to 10,871.98, 15,003.09 and 6,156.16

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Solution

The fourth proportional to 10,871.98, 15,003.09 and 6,156.16 is: 8,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.98 : 15,003.09 = 6,156.16 : x
  2. Step 2: Convert to fraction form
    10,871.98/15,003.09 = 6,156.16/x
  3. Step 3: Cross multiply
    10,871.98x = 15,003.09 × 6,156.16
  4. Step 4: Simplify right side
    10,871.98x = 92,361,422.53
  5. Step 5: Solve for x
    x = 92,361,422.53/10,871.98
  6. Step 6: Final answer
    x = 8,495.36

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1.5x scale

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.