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Finding the Fourth Proportional to 8,146.75, 12,228.77 and 7,215.74

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Solution

The fourth proportional to 8,146.75, 12,228.77 and 7,215.74 is: 10,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.75 : 12,228.77 = 7,215.74 : x
  2. Step 2: Convert to fraction form
    8,146.75/12,228.77 = 7,215.74/x
  3. Step 3: Cross multiply
    8,146.75x = 12,228.77 × 7,215.74
  4. Step 4: Simplify right side
    8,146.75x = 88,239,573.48
  5. Step 5: Solve for x
    x = 88,239,573.48/8,146.75
  6. Step 6: Final answer
    x = 10,831.26

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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.