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Finding the Fourth Proportional to 10,073.08, 13,894.68 and 5,982.10

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Solution

The fourth proportional to 10,073.08, 13,894.68 and 5,982.10 is: 8,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.08 : 13,894.68 = 5,982.10 : x
  2. Step 2: Convert to fraction form
    10,073.08/13,894.68 = 5,982.10/x
  3. Step 3: Cross multiply
    10,073.08x = 13,894.68 × 5,982.10
  4. Step 4: Simplify right side
    10,073.08x = 83,119,365.23
  5. Step 5: Solve for x
    x = 83,119,365.23/10,073.08
  6. Step 6: Final answer
    x = 8,251.63

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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.