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Finding the Fourth Proportional to 7,757.65, 11,643.20 and 4,062.48

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Solution

The fourth proportional to 7,757.65, 11,643.20 and 4,062.48 is: 6,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.65 : 11,643.20 = 4,062.48 : x
  2. Step 2: Convert to fraction form
    7,757.65/11,643.20 = 4,062.48/x
  3. Step 3: Cross multiply
    7,757.65x = 11,643.20 × 4,062.48
  4. Step 4: Simplify right side
    7,757.65x = 47,300,267.14
  5. Step 5: Solve for x
    x = 47,300,267.14/7,757.65
  6. Step 6: Final answer
    x = 6,097.24

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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.