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Finding the Fourth Proportional to 7,757.73, 10,704.80 and 4,570.83

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Solution

The fourth proportional to 7,757.73, 10,704.80 and 4,570.83 is: 6,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.73 : 10,704.80 = 4,570.83 : x
  2. Step 2: Convert to fraction form
    7,757.73/10,704.80 = 4,570.83/x
  3. Step 3: Cross multiply
    7,757.73x = 10,704.80 × 4,570.83
  4. Step 4: Simplify right side
    7,757.73x = 48,929,798.13
  5. Step 5: Solve for x
    x = 48,929,798.13/7,757.73
  6. Step 6: Final answer
    x = 6,307.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.