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Finding the Fourth Proportional to 5,447.68, 8,171.07 and 1,748.92

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Solution

The fourth proportional to 5,447.68, 8,171.07 and 1,748.92 is: 2,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.68 : 8,171.07 = 1,748.92 : x
  2. Step 2: Convert to fraction form
    5,447.68/8,171.07 = 1,748.92/x
  3. Step 3: Cross multiply
    5,447.68x = 8,171.07 × 1,748.92
  4. Step 4: Simplify right side
    5,447.68x = 14,290,547.74
  5. Step 5: Solve for x
    x = 14,290,547.74/5,447.68
  6. Step 6: Final answer
    x = 2,623.24

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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.