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Finding the Fourth Proportional to 10,101.85, 13,946.78 and 6,519.96

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Solution

The fourth proportional to 10,101.85, 13,946.78 and 6,519.96 is: 9,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.85 : 13,946.78 = 6,519.96 : x
  2. Step 2: Convert to fraction form
    10,101.85/13,946.78 = 6,519.96/x
  3. Step 3: Cross multiply
    10,101.85x = 13,946.78 × 6,519.96
  4. Step 4: Simplify right side
    10,101.85x = 90,932,464.03
  5. Step 5: Solve for x
    x = 90,932,464.03/10,101.85
  6. Step 6: Final answer
    x = 9,001.57

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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.