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Finding the Fourth Proportional to 6,904.26, 10,366.11 and 6,590.79

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Solution

The fourth proportional to 6,904.26, 10,366.11 and 6,590.79 is: 9,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.26 : 10,366.11 = 6,590.79 : x
  2. Step 2: Convert to fraction form
    6,904.26/10,366.11 = 6,590.79/x
  3. Step 3: Cross multiply
    6,904.26x = 10,366.11 × 6,590.79
  4. Step 4: Simplify right side
    6,904.26x = 68,320,854.13
  5. Step 5: Solve for x
    x = 68,320,854.13/6,904.26
  6. Step 6: Final answer
    x = 9,895.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.