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Finding the Fourth Proportional to 8,295.26, 12,470.22 and 7,686.54

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Solution

The fourth proportional to 8,295.26, 12,470.22 and 7,686.54 is: 11,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.26 : 12,470.22 = 7,686.54 : x
  2. Step 2: Convert to fraction form
    8,295.26/12,470.22 = 7,686.54/x
  3. Step 3: Cross multiply
    8,295.26x = 12,470.22 × 7,686.54
  4. Step 4: Simplify right side
    8,295.26x = 95,852,844.84
  5. Step 5: Solve for x
    x = 95,852,844.84/8,295.26
  6. Step 6: Final answer
    x = 11,555.14

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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.