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Finding the Fourth Proportional to 6,694.59, 9,250.07 and 6,458.07

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Solution

The fourth proportional to 6,694.59, 9,250.07 and 6,458.07 is: 8,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.59 : 9,250.07 = 6,458.07 : x
  2. Step 2: Convert to fraction form
    6,694.59/9,250.07 = 6,458.07/x
  3. Step 3: Cross multiply
    6,694.59x = 9,250.07 × 6,458.07
  4. Step 4: Simplify right side
    6,694.59x = 59,737,567.27
  5. Step 5: Solve for x
    x = 59,737,567.27/6,694.59
  6. Step 6: Final answer
    x = 8,923.26

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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.