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Finding the Fourth Proportional to 7,216.84, 10,844.16 and 6,294.70

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Solution

The fourth proportional to 7,216.84, 10,844.16 and 6,294.70 is: 9,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.84 : 10,844.16 = 6,294.70 : x
  2. Step 2: Convert to fraction form
    7,216.84/10,844.16 = 6,294.70/x
  3. Step 3: Cross multiply
    7,216.84x = 10,844.16 × 6,294.70
  4. Step 4: Simplify right side
    7,216.84x = 68,260,733.95
  5. Step 5: Solve for x
    x = 68,260,733.95/7,216.84
  6. Step 6: Final answer
    x = 9,458.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.