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Finding the Fourth Proportional to 6,766.58, 9,320.54 and 4,773.65

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Solution

The fourth proportional to 6,766.58, 9,320.54 and 4,773.65 is: 6,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.58 : 9,320.54 = 4,773.65 : x
  2. Step 2: Convert to fraction form
    6,766.58/9,320.54 = 4,773.65/x
  3. Step 3: Cross multiply
    6,766.58x = 9,320.54 × 4,773.65
  4. Step 4: Simplify right side
    6,766.58x = 44,492,925.30
  5. Step 5: Solve for x
    x = 44,492,925.30/6,766.58
  6. Step 6: Final answer
    x = 6,575.39

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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.