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Finding the Fourth Proportional to 9,995.78, 13,794.62 and 5,748.22

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Solution

The fourth proportional to 9,995.78, 13,794.62 and 5,748.22 is: 7,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.78 : 13,794.62 = 5,748.22 : x
  2. Step 2: Convert to fraction form
    9,995.78/13,794.62 = 5,748.22/x
  3. Step 3: Cross multiply
    9,995.78x = 13,794.62 × 5,748.22
  4. Step 4: Simplify right side
    9,995.78x = 79,294,510.58
  5. Step 5: Solve for x
    x = 79,294,510.58/9,995.78
  6. Step 6: Final answer
    x = 7,932.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.