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Finding the Fourth Proportional to 7,394.97, 10,205 and 4,037.74

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Solution

The fourth proportional to 7,394.97, 10,205 and 4,037.74 is: 5,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.97 : 10,205 = 4,037.74 : x
  2. Step 2: Convert to fraction form
    7,394.97/10,205 = 4,037.74/x
  3. Step 3: Cross multiply
    7,394.97x = 10,205 × 4,037.74
  4. Step 4: Simplify right side
    7,394.97x = 41,205,136.70
  5. Step 5: Solve for x
    x = 41,205,136.70/7,394.97
  6. Step 6: Final answer
    x = 5,572.05

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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.