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Finding the Fourth Proportional to 10,705.39, 14,773.02 and 5,989.67

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Solution

The fourth proportional to 10,705.39, 14,773.02 and 5,989.67 is: 8,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.39 : 14,773.02 = 5,989.67 : x
  2. Step 2: Convert to fraction form
    10,705.39/14,773.02 = 5,989.67/x
  3. Step 3: Cross multiply
    10,705.39x = 14,773.02 × 5,989.67
  4. Step 4: Simplify right side
    10,705.39x = 88,485,514.70
  5. Step 5: Solve for x
    x = 88,485,514.70/10,705.39
  6. Step 6: Final answer
    x = 8,265.51

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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.