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Finding the Fourth Proportional to 8,310.53, 11,468.52 and 4,773.74

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Solution

The fourth proportional to 8,310.53, 11,468.52 and 4,773.74 is: 6,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.53 : 11,468.52 = 4,773.74 : x
  2. Step 2: Convert to fraction form
    8,310.53/11,468.52 = 4,773.74/x
  3. Step 3: Cross multiply
    8,310.53x = 11,468.52 × 4,773.74
  4. Step 4: Simplify right side
    8,310.53x = 54,747,675.32
  5. Step 5: Solve for x
    x = 54,747,675.32/8,310.53
  6. Step 6: Final answer
    x = 6,587.75

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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.