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Finding the Fourth Proportional to 9,262.56, 13,881.84 and 8,089.68

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Solution

The fourth proportional to 9,262.56, 13,881.84 and 8,089.68 is: 12,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.56 : 13,881.84 = 8,089.68 : x
  2. Step 2: Convert to fraction form
    9,262.56/13,881.84 = 8,089.68/x
  3. Step 3: Cross multiply
    9,262.56x = 13,881.84 × 8,089.68
  4. Step 4: Simplify right side
    9,262.56x = 112,299,643.41
  5. Step 5: Solve for x
    x = 112,299,643.41/9,262.56
  6. Step 6: Final answer
    x = 12,124.04

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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.