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Finding the Fourth Proportional to 9,216.66, 12,708.95 and 6,227.31

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Solution

The fourth proportional to 9,216.66, 12,708.95 and 6,227.31 is: 8,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.66 : 12,708.95 = 6,227.31 : x
  2. Step 2: Convert to fraction form
    9,216.66/12,708.95 = 6,227.31/x
  3. Step 3: Cross multiply
    9,216.66x = 12,708.95 × 6,227.31
  4. Step 4: Simplify right side
    9,216.66x = 79,142,571.42
  5. Step 5: Solve for x
    x = 79,142,571.42/9,216.66
  6. Step 6: Final answer
    x = 8,586.90

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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.