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Finding the Fourth Proportional to 7,253.84, 10,895.16 and 6,213.44

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Solution

The fourth proportional to 7,253.84, 10,895.16 and 6,213.44 is: 9,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.84 : 10,895.16 = 6,213.44 : x
  2. Step 2: Convert to fraction form
    7,253.84/10,895.16 = 6,213.44/x
  3. Step 3: Cross multiply
    7,253.84x = 10,895.16 × 6,213.44
  4. Step 4: Simplify right side
    7,253.84x = 67,696,422.95
  5. Step 5: Solve for x
    x = 67,696,422.95/7,253.84
  6. Step 6: Final answer
    x = 9,332.49

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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.