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Finding the Fourth Proportional to 7,131.93, 9,844.76 and 6,384.52

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Solution

The fourth proportional to 7,131.93, 9,844.76 and 6,384.52 is: 8,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.93 : 9,844.76 = 6,384.52 : x
  2. Step 2: Convert to fraction form
    7,131.93/9,844.76 = 6,384.52/x
  3. Step 3: Cross multiply
    7,131.93x = 9,844.76 × 6,384.52
  4. Step 4: Simplify right side
    7,131.93x = 62,854,067.12
  5. Step 5: Solve for x
    x = 62,854,067.12/7,131.93
  6. Step 6: Final answer
    x = 8,813.05

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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.