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Finding the Fourth Proportional to 6,211.52, 9,364.88 and 5,788.56

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Solution

The fourth proportional to 6,211.52, 9,364.88 and 5,788.56 is: 8,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.52 : 9,364.88 = 5,788.56 : x
  2. Step 2: Convert to fraction form
    6,211.52/9,364.88 = 5,788.56/x
  3. Step 3: Cross multiply
    6,211.52x = 9,364.88 × 5,788.56
  4. Step 4: Simplify right side
    6,211.52x = 54,209,169.77
  5. Step 5: Solve for x
    x = 54,209,169.77/6,211.52
  6. Step 6: Final answer
    x = 8,727.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.