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Finding the Fourth Proportional to 9,353.85, 12,908.30 and 5,996.66

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Solution

The fourth proportional to 9,353.85, 12,908.30 and 5,996.66 is: 8,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.85 : 12,908.30 = 5,996.66 : x
  2. Step 2: Convert to fraction form
    9,353.85/12,908.30 = 5,996.66/x
  3. Step 3: Cross multiply
    9,353.85x = 12,908.30 × 5,996.66
  4. Step 4: Simplify right side
    9,353.85x = 77,406,591.75
  5. Step 5: Solve for x
    x = 77,406,591.75/9,353.85
  6. Step 6: Final answer
    x = 8,275.37

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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.