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Finding the Fourth Proportional to 10,034.88, 13,842.12 and 6,053.64

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Solution

The fourth proportional to 10,034.88, 13,842.12 and 6,053.64 is: 8,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.88 : 13,842.12 = 6,053.64 : x
  2. Step 2: Convert to fraction form
    10,034.88/13,842.12 = 6,053.64/x
  3. Step 3: Cross multiply
    10,034.88x = 13,842.12 × 6,053.64
  4. Step 4: Simplify right side
    10,034.88x = 83,795,211.32
  5. Step 5: Solve for x
    x = 83,795,211.32/10,034.88
  6. Step 6: Final answer
    x = 8,350.39

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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.