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Finding the Fourth Proportional to 8,326.78, 11,492.88 and 5,494.66

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Solution

The fourth proportional to 8,326.78, 11,492.88 and 5,494.66 is: 7,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.78 : 11,492.88 = 5,494.66 : x
  2. Step 2: Convert to fraction form
    8,326.78/11,492.88 = 5,494.66/x
  3. Step 3: Cross multiply
    8,326.78x = 11,492.88 × 5,494.66
  4. Step 4: Simplify right side
    8,326.78x = 63,149,468.02
  5. Step 5: Solve for x
    x = 63,149,468.02/8,326.78
  6. Step 6: Final answer
    x = 7,583.90

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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.