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Finding the Fourth Proportional to 24,641.28, 36,968.48 and 7,112.64

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Solution

The fourth proportional to 24,641.28, 36,968.48 and 7,112.64 is: 10,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.28 : 36,968.48 = 7,112.64 : x
  2. Step 2: Convert to fraction form
    24,641.28/36,968.48 = 7,112.64/x
  3. Step 3: Cross multiply
    24,641.28x = 36,968.48 × 7,112.64
  4. Step 4: Simplify right side
    24,641.28x = 262,943,489.59
  5. Step 5: Solve for x
    x = 262,943,489.59/24,641.28
  6. Step 6: Final answer
    x = 10,670.85

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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.