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Finding the Fourth Proportional to 6,575.95, 9,072.57 and 4,687.84

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Solution

The fourth proportional to 6,575.95, 9,072.57 and 4,687.84 is: 6,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.95 : 9,072.57 = 4,687.84 : x
  2. Step 2: Convert to fraction form
    6,575.95/9,072.57 = 4,687.84/x
  3. Step 3: Cross multiply
    6,575.95x = 9,072.57 × 4,687.84
  4. Step 4: Simplify right side
    6,575.95x = 42,530,756.55
  5. Step 5: Solve for x
    x = 42,530,756.55/6,575.95
  6. Step 6: Final answer
    x = 6,467.62

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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.