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Finding the Fourth Proportional to 9,074.70, 13,575.60 and 7,855.65

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Solution

The fourth proportional to 9,074.70, 13,575.60 and 7,855.65 is: 11,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.70 : 13,575.60 = 7,855.65 : x
  2. Step 2: Convert to fraction form
    9,074.70/13,575.60 = 7,855.65/x
  3. Step 3: Cross multiply
    9,074.70x = 13,575.60 × 7,855.65
  4. Step 4: Simplify right side
    9,074.70x = 106,645,162.14
  5. Step 5: Solve for x
    x = 106,645,162.14/9,074.70
  6. Step 6: Final answer
    x = 11,751.92

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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.