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Finding the Fourth Proportional to 5,700.07, 8,550.10 and 1,540.50

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Solution

The fourth proportional to 5,700.07, 8,550.10 and 1,540.50 is: 2,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.07 : 8,550.10 = 1,540.50 : x
  2. Step 2: Convert to fraction form
    5,700.07/8,550.10 = 1,540.50/x
  3. Step 3: Cross multiply
    5,700.07x = 8,550.10 × 1,540.50
  4. Step 4: Simplify right side
    5,700.07x = 13,171,398.91
  5. Step 5: Solve for x
    x = 13,171,398.91/5,700.07
  6. Step 6: Final answer
    x = 2,310.74

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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.