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Finding the Fourth Proportional to 24,741.66, 37,112.97 and 7,211.58

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Solution

The fourth proportional to 24,741.66, 37,112.97 and 7,211.58 is: 10,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.66 : 37,112.97 = 7,211.58 : x
  2. Step 2: Convert to fraction form
    24,741.66/37,112.97 = 7,211.58/x
  3. Step 3: Cross multiply
    24,741.66x = 37,112.97 × 7,211.58
  4. Step 4: Simplify right side
    24,741.66x = 267,643,152.19
  5. Step 5: Solve for x
    x = 267,643,152.19/24,741.66
  6. Step 6: Final answer
    x = 10,817.51

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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.