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Finding the Fourth Proportional to 7,700.78, 10,627.80 and 4,557.44

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Solution

The fourth proportional to 7,700.78, 10,627.80 and 4,557.44 is: 6,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.78 : 10,627.80 = 4,557.44 : x
  2. Step 2: Convert to fraction form
    7,700.78/10,627.80 = 4,557.44/x
  3. Step 3: Cross multiply
    7,700.78x = 10,627.80 × 4,557.44
  4. Step 4: Simplify right side
    7,700.78x = 48,435,560.83
  5. Step 5: Solve for x
    x = 48,435,560.83/7,700.78
  6. Step 6: Final answer
    x = 6,289.70

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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.