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Finding the Fourth Proportional to 9,468.93, 14,192.06 and 6,691.44

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Solution

The fourth proportional to 9,468.93, 14,192.06 and 6,691.44 is: 10,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.93 : 14,192.06 = 6,691.44 : x
  2. Step 2: Convert to fraction form
    9,468.93/14,192.06 = 6,691.44/x
  3. Step 3: Cross multiply
    9,468.93x = 14,192.06 × 6,691.44
  4. Step 4: Simplify right side
    9,468.93x = 94,965,284.51
  5. Step 5: Solve for x
    x = 94,965,284.51/9,468.93
  6. Step 6: Final answer
    x = 10,029.15

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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.