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Finding the Fourth Proportional to 4,957.74, 7,437.78 and 1,447.83

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Solution

The fourth proportional to 4,957.74, 7,437.78 and 1,447.83 is: 2,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.74 : 7,437.78 = 1,447.83 : x
  2. Step 2: Convert to fraction form
    4,957.74/7,437.78 = 1,447.83/x
  3. Step 3: Cross multiply
    4,957.74x = 7,437.78 × 1,447.83
  4. Step 4: Simplify right side
    4,957.74x = 10,768,641.02
  5. Step 5: Solve for x
    x = 10,768,641.02/4,957.74
  6. Step 6: Final answer
    x = 2,172.09

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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.