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Finding the Fourth Proportional to 5,646.64, 8,470.51 and 1,948.38

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Solution

The fourth proportional to 5,646.64, 8,470.51 and 1,948.38 is: 2,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.64 : 8,470.51 = 1,948.38 : x
  2. Step 2: Convert to fraction form
    5,646.64/8,470.51 = 1,948.38/x
  3. Step 3: Cross multiply
    5,646.64x = 8,470.51 × 1,948.38
  4. Step 4: Simplify right side
    5,646.64x = 16,503,772.27
  5. Step 5: Solve for x
    x = 16,503,772.27/5,646.64
  6. Step 6: Final answer
    x = 2,922.76

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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.