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Finding the Fourth Proportional to 7,275.84, 10,912.80 and 2,082.24

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Solution

The fourth proportional to 7,275.84, 10,912.80 and 2,082.24 is: 3,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.84 : 10,912.80 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    7,275.84/10,912.80 = 2,082.24/x
  3. Step 3: Cross multiply
    7,275.84x = 10,912.80 × 2,082.24
  4. Step 4: Simplify right side
    7,275.84x = 22,723,068.67
  5. Step 5: Solve for x
    x = 22,723,068.67/7,275.84
  6. Step 6: Final answer
    x = 3,123.09

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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.