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Finding the Fourth Proportional to 9,914.16, 14,872.61 and 3,342.22

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Solution

The fourth proportional to 9,914.16, 14,872.61 and 3,342.22 is: 5,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.16 : 14,872.61 = 3,342.22 : x
  2. Step 2: Convert to fraction form
    9,914.16/14,872.61 = 3,342.22/x
  3. Step 3: Cross multiply
    9,914.16x = 14,872.61 × 3,342.22
  4. Step 4: Simplify right side
    9,914.16x = 49,707,534.59
  5. Step 5: Solve for x
    x = 49,707,534.59/9,914.16
  6. Step 6: Final answer
    x = 5,013.79

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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.