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Finding the Fourth Proportional to 9,244.26, 12,742.08 and 7,224.14

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Solution

The fourth proportional to 9,244.26, 12,742.08 and 7,224.14 is: 9,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.26 : 12,742.08 = 7,224.14 : x
  2. Step 2: Convert to fraction form
    9,244.26/12,742.08 = 7,224.14/x
  3. Step 3: Cross multiply
    9,244.26x = 12,742.08 × 7,224.14
  4. Step 4: Simplify right side
    9,244.26x = 92,050,569.81
  5. Step 5: Solve for x
    x = 92,050,569.81/9,244.26
  6. Step 6: Final answer
    x = 9,957.59

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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.