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Finding the Fourth Proportional to 12,753.21, 17,594.91 and 7,447.32

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Solution

The fourth proportional to 12,753.21, 17,594.91 and 7,447.32 is: 10,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.21 : 17,594.91 = 7,447.32 : x
  2. Step 2: Convert to fraction form
    12,753.21/17,594.91 = 7,447.32/x
  3. Step 3: Cross multiply
    12,753.21x = 17,594.91 × 7,447.32
  4. Step 4: Simplify right side
    12,753.21x = 131,034,925.14
  5. Step 5: Solve for x
    x = 131,034,925.14/12,753.21
  6. Step 6: Final answer
    x = 10,274.66

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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.