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Finding the Fourth Proportional to 5,642.84, 8,463 and 1,944.92

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Solution

The fourth proportional to 5,642.84, 8,463 and 1,944.92 is: 2,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.84 : 8,463 = 1,944.92 : x
  2. Step 2: Convert to fraction form
    5,642.84/8,463 = 1,944.92/x
  3. Step 3: Cross multiply
    5,642.84x = 8,463 × 1,944.92
  4. Step 4: Simplify right side
    5,642.84x = 16,459,857.96
  5. Step 5: Solve for x
    x = 16,459,857.96/5,642.84
  6. Step 6: Final answer
    x = 2,916.95

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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.