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Finding the Fourth Proportional to 8,357.99, 12,537.59 and 3,427.65

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Solution

The fourth proportional to 8,357.99, 12,537.59 and 3,427.65 is: 5,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.99 : 12,537.59 = 3,427.65 : x
  2. Step 2: Convert to fraction form
    8,357.99/12,537.59 = 3,427.65/x
  3. Step 3: Cross multiply
    8,357.99x = 12,537.59 × 3,427.65
  4. Step 4: Simplify right side
    8,357.99x = 42,974,453.23
  5. Step 5: Solve for x
    x = 42,974,453.23/8,357.99
  6. Step 6: Final answer
    x = 5,141.72

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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.