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Finding the Fourth Proportional to 4,721.76, 7,082.28 and 1,643.76

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Solution

The fourth proportional to 4,721.76, 7,082.28 and 1,643.76 is: 2,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.76 : 7,082.28 = 1,643.76 : x
  2. Step 2: Convert to fraction form
    4,721.76/7,082.28 = 1,643.76/x
  3. Step 3: Cross multiply
    4,721.76x = 7,082.28 × 1,643.76
  4. Step 4: Simplify right side
    4,721.76x = 11,641,568.57
  5. Step 5: Solve for x
    x = 11,641,568.57/4,721.76
  6. Step 6: Final answer
    x = 2,465.51

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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.