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Finding the Fourth Proportional to 8,865.34, 12,238.22 and 6,314.74

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Solution

The fourth proportional to 8,865.34, 12,238.22 and 6,314.74 is: 8,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.34 : 12,238.22 = 6,314.74 : x
  2. Step 2: Convert to fraction form
    8,865.34/12,238.22 = 6,314.74/x
  3. Step 3: Cross multiply
    8,865.34x = 12,238.22 × 6,314.74
  4. Step 4: Simplify right side
    8,865.34x = 77,281,177.36
  5. Step 5: Solve for x
    x = 77,281,177.36/8,865.34
  6. Step 6: Final answer
    x = 8,717.23

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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.