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Finding the Fourth Proportional to 6,572.84, 9,069.18 and 3,777.80

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Solution

The fourth proportional to 6,572.84, 9,069.18 and 3,777.80 is: 5,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.84 : 9,069.18 = 3,777.80 : x
  2. Step 2: Convert to fraction form
    6,572.84/9,069.18 = 3,777.80/x
  3. Step 3: Cross multiply
    6,572.84x = 9,069.18 × 3,777.80
  4. Step 4: Simplify right side
    6,572.84x = 34,261,548.20
  5. Step 5: Solve for x
    x = 34,261,548.20/6,572.84
  6. Step 6: Final answer
    x = 5,212.59

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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.