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Finding the Fourth Proportional to 6,734.93, 9,294.50 and 5,614.00

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Solution

The fourth proportional to 6,734.93, 9,294.50 and 5,614.00 is: 7,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.93 : 9,294.50 = 5,614.00 : x
  2. Step 2: Convert to fraction form
    6,734.93/9,294.50 = 5,614.00/x
  3. Step 3: Cross multiply
    6,734.93x = 9,294.50 × 5,614.00
  4. Step 4: Simplify right side
    6,734.93x = 52,179,313.80
  5. Step 5: Solve for x
    x = 52,179,313.80/6,734.93
  6. Step 6: Final answer
    x = 7,747.57

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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.