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Finding the Fourth Proportional to 5,246.68, 7,870.13 and 1,959.12

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Solution

The fourth proportional to 5,246.68, 7,870.13 and 1,959.12 is: 2,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.68 : 7,870.13 = 1,959.12 : x
  2. Step 2: Convert to fraction form
    5,246.68/7,870.13 = 1,959.12/x
  3. Step 3: Cross multiply
    5,246.68x = 7,870.13 × 1,959.12
  4. Step 4: Simplify right side
    5,246.68x = 15,418,529.09
  5. Step 5: Solve for x
    x = 15,418,529.09/5,246.68
  6. Step 6: Final answer
    x = 2,938.72

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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.