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Finding the Fourth Proportional to 9,872.78, 13,624.04 and 5,842.22

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Solution

The fourth proportional to 9,872.78, 13,624.04 and 5,842.22 is: 8,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.78 : 13,624.04 = 5,842.22 : x
  2. Step 2: Convert to fraction form
    9,872.78/13,624.04 = 5,842.22/x
  3. Step 3: Cross multiply
    9,872.78x = 13,624.04 × 5,842.22
  4. Step 4: Simplify right side
    9,872.78x = 79,594,638.97
  5. Step 5: Solve for x
    x = 79,594,638.97/9,872.78
  6. Step 6: Final answer
    x = 8,062.03

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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.