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Finding the Fourth Proportional to 24,844.52, 37,266.72 and 7,314.32

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Solution

The fourth proportional to 24,844.52, 37,266.72 and 7,314.32 is: 10,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.52 : 37,266.72 = 7,314.32 : x
  2. Step 2: Convert to fraction form
    24,844.52/37,266.72 = 7,314.32/x
  3. Step 3: Cross multiply
    24,844.52x = 37,266.72 × 7,314.32
  4. Step 4: Simplify right side
    24,844.52x = 272,580,715.43
  5. Step 5: Solve for x
    x = 272,580,715.43/24,844.52
  6. Step 6: Final answer
    x = 10,971.46

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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.