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Finding the Fourth Proportional to 7,657.65, 11,486.52 and 2,727.48

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Solution

The fourth proportional to 7,657.65, 11,486.52 and 2,727.48 is: 4,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.65 : 11,486.52 = 2,727.48 : x
  2. Step 2: Convert to fraction form
    7,657.65/11,486.52 = 2,727.48/x
  3. Step 3: Cross multiply
    7,657.65x = 11,486.52 × 2,727.48
  4. Step 4: Simplify right side
    7,657.65x = 31,329,253.57
  5. Step 5: Solve for x
    x = 31,329,253.57/7,657.65
  6. Step 6: Final answer
    x = 4,091.24

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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.