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Finding the Fourth Proportional to 8,577.84, 12,866.73 and 5,634.86

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Solution

The fourth proportional to 8,577.84, 12,866.73 and 5,634.86 is: 8,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.84 : 12,866.73 = 5,634.86 : x
  2. Step 2: Convert to fraction form
    8,577.84/12,866.73 = 5,634.86/x
  3. Step 3: Cross multiply
    8,577.84x = 12,866.73 × 5,634.86
  4. Step 4: Simplify right side
    8,577.84x = 72,502,157.87
  5. Step 5: Solve for x
    x = 72,502,157.87/8,577.84
  6. Step 6: Final answer
    x = 8,452.26

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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.