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Finding the Fourth Proportional to 7,357.92, 11,037.78 and 2,428.44

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Solution

The fourth proportional to 7,357.92, 11,037.78 and 2,428.44 is: 3,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.92 : 11,037.78 = 2,428.44 : x
  2. Step 2: Convert to fraction form
    7,357.92/11,037.78 = 2,428.44/x
  3. Step 3: Cross multiply
    7,357.92x = 11,037.78 × 2,428.44
  4. Step 4: Simplify right side
    7,357.92x = 26,804,586.46
  5. Step 5: Solve for x
    x = 26,804,586.46/7,357.92
  6. Step 6: Final answer
    x = 3,642.96

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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.