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Finding the Fourth Proportional to 24,734.96, 37,102.44 and 7,206.16

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Solution

The fourth proportional to 24,734.96, 37,102.44 and 7,206.16 is: 10,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.96 : 37,102.44 = 7,206.16 : x
  2. Step 2: Convert to fraction form
    24,734.96/37,102.44 = 7,206.16/x
  3. Step 3: Cross multiply
    24,734.96x = 37,102.44 × 7,206.16
  4. Step 4: Simplify right side
    24,734.96x = 267,366,119.03
  5. Step 5: Solve for x
    x = 267,366,119.03/24,734.96
  6. Step 6: Final answer
    x = 10,809.24

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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.