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Finding the Fourth Proportional to 9,224.85, 13,837.29 and 7,387.65

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Solution

The fourth proportional to 9,224.85, 13,837.29 and 7,387.65 is: 11,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.85 : 13,837.29 = 7,387.65 : x
  2. Step 2: Convert to fraction form
    9,224.85/13,837.29 = 7,387.65/x
  3. Step 3: Cross multiply
    9,224.85x = 13,837.29 × 7,387.65
  4. Step 4: Simplify right side
    9,224.85x = 102,225,055.47
  5. Step 5: Solve for x
    x = 102,225,055.47/9,224.85
  6. Step 6: Final answer
    x = 11,081.49

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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.