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Finding the Fourth Proportional to 7,767.78, 11,695.47 and 6,849.24

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Solution

The fourth proportional to 7,767.78, 11,695.47 and 6,849.24 is: 10,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.78 : 11,695.47 = 6,849.24 : x
  2. Step 2: Convert to fraction form
    7,767.78/11,695.47 = 6,849.24/x
  3. Step 3: Cross multiply
    7,767.78x = 11,695.47 × 6,849.24
  4. Step 4: Simplify right side
    7,767.78x = 80,105,080.94
  5. Step 5: Solve for x
    x = 80,105,080.94/7,767.78
  6. Step 6: Final answer
    x = 10,312.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.