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Finding the Fourth Proportional to 5,569.42, 8,354.16 and 1,673.80

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Solution

The fourth proportional to 5,569.42, 8,354.16 and 1,673.80 is: 2,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.42 : 8,354.16 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    5,569.42/8,354.16 = 1,673.80/x
  3. Step 3: Cross multiply
    5,569.42x = 8,354.16 × 1,673.80
  4. Step 4: Simplify right side
    5,569.42x = 13,983,193.01
  5. Step 5: Solve for x
    x = 13,983,193.01/5,569.42
  6. Step 6: Final answer
    x = 2,510.71

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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.