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Finding the Fourth Proportional to 5,168.86, 7,752.14 and 1,471.02

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Solution

The fourth proportional to 5,168.86, 7,752.14 and 1,471.02 is: 2,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.86 : 7,752.14 = 1,471.02 : x
  2. Step 2: Convert to fraction form
    5,168.86/7,752.14 = 1,471.02/x
  3. Step 3: Cross multiply
    5,168.86x = 7,752.14 × 1,471.02
  4. Step 4: Simplify right side
    5,168.86x = 11,403,552.98
  5. Step 5: Solve for x
    x = 11,403,552.98/5,168.86
  6. Step 6: Final answer
    x = 2,206.20

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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.