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Finding the Fourth Proportional to 5,646.86, 8,471.42 and 1,949.23

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Solution

The fourth proportional to 5,646.86, 8,471.42 and 1,949.23 is: 2,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.86 : 8,471.42 = 1,949.23 : x
  2. Step 2: Convert to fraction form
    5,646.86/8,471.42 = 1,949.23/x
  3. Step 3: Cross multiply
    5,646.86x = 8,471.42 × 1,949.23
  4. Step 4: Simplify right side
    5,646.86x = 16,512,746.01
  5. Step 5: Solve for x
    x = 16,512,746.01/5,646.86
  6. Step 6: Final answer
    x = 2,924.24

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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.