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Finding the Fourth Proportional to 24,717.76, 37,082.76 and 7,187.80

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Solution

The fourth proportional to 24,717.76, 37,082.76 and 7,187.80 is: 10,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717.76 : 37,082.76 = 7,187.80 : x
  2. Step 2: Convert to fraction form
    24,717.76/37,082.76 = 7,187.80/x
  3. Step 3: Cross multiply
    24,717.76x = 37,082.76 × 7,187.80
  4. Step 4: Simplify right side
    24,717.76x = 266,543,462.33
  5. Step 5: Solve for x
    x = 266,543,462.33/24,717.76
  6. Step 6: Final answer
    x = 10,783.48

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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.