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Finding the Fourth Proportional to 5,847.57, 8,770.02 and 1,686.64

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Solution

The fourth proportional to 5,847.57, 8,770.02 and 1,686.64 is: 2,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.57 : 8,770.02 = 1,686.64 : x
  2. Step 2: Convert to fraction form
    5,847.57/8,770.02 = 1,686.64/x
  3. Step 3: Cross multiply
    5,847.57x = 8,770.02 × 1,686.64
  4. Step 4: Simplify right side
    5,847.57x = 14,791,866.53
  5. Step 5: Solve for x
    x = 14,791,866.53/5,847.57
  6. Step 6: Final answer
    x = 2,529.57

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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.