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Finding the Fourth Proportional to 7,707.65, 11,554.52 and 2,773.82

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Solution

The fourth proportional to 7,707.65, 11,554.52 and 2,773.82 is: 4,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.65 : 11,554.52 = 2,773.82 : x
  2. Step 2: Convert to fraction form
    7,707.65/11,554.52 = 2,773.82/x
  3. Step 3: Cross multiply
    7,707.65x = 11,554.52 × 2,773.82
  4. Step 4: Simplify right side
    7,707.65x = 32,050,173.68
  5. Step 5: Solve for x
    x = 32,050,173.68/7,707.65
  6. Step 6: Final answer
    x = 4,158.23

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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.