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Finding the Fourth Proportional to 10,034.54, 13,843.06 and 6,498.90

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Solution

The fourth proportional to 10,034.54, 13,843.06 and 6,498.90 is: 8,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.54 : 13,843.06 = 6,498.90 : x
  2. Step 2: Convert to fraction form
    10,034.54/13,843.06 = 6,498.90/x
  3. Step 3: Cross multiply
    10,034.54x = 13,843.06 × 6,498.90
  4. Step 4: Simplify right side
    10,034.54x = 89,964,662.63
  5. Step 5: Solve for x
    x = 89,964,662.63/10,034.54
  6. Step 6: Final answer
    x = 8,965.50

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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.