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Finding the Fourth Proportional to 6,397.40, 9,583.54 and 5,700.80

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Solution

The fourth proportional to 6,397.40, 9,583.54 and 5,700.80 is: 8,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.40 : 9,583.54 = 5,700.80 : x
  2. Step 2: Convert to fraction form
    6,397.40/9,583.54 = 5,700.80/x
  3. Step 3: Cross multiply
    6,397.40x = 9,583.54 × 5,700.80
  4. Step 4: Simplify right side
    6,397.40x = 54,633,844.83
  5. Step 5: Solve for x
    x = 54,633,844.83/6,397.40
  6. Step 6: Final answer
    x = 8,540.01

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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.