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Finding the Fourth Proportional to 5,677.21, 8,569.14 and 5,677.21

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Solution

The fourth proportional to 5,677.21, 8,569.14 and 5,677.21 is: 8,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.21 : 8,569.14 = 5,677.21 : x
  2. Step 2: Convert to fraction form
    5,677.21/8,569.14 = 5,677.21/x
  3. Step 3: Cross multiply
    5,677.21x = 8,569.14 × 5,677.21
  4. Step 4: Simplify right side
    5,677.21x = 48,648,778.91
  5. Step 5: Solve for x
    x = 48,648,778.91/5,677.21
  6. Step 6: Final answer
    x = 8,569.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.