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Finding the Fourth Proportional to 8,933.84, 12,319.93 and 8,227.52

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Solution

The fourth proportional to 8,933.84, 12,319.93 and 8,227.52 is: 11,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.84 : 12,319.93 = 8,227.52 : x
  2. Step 2: Convert to fraction form
    8,933.84/12,319.93 = 8,227.52/x
  3. Step 3: Cross multiply
    8,933.84x = 12,319.93 × 8,227.52
  4. Step 4: Simplify right side
    8,933.84x = 101,362,470.47
  5. Step 5: Solve for x
    x = 101,362,470.47/8,933.84
  6. Step 6: Final answer
    x = 11,345.90

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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.