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Finding the Fourth Proportional to 9,312.14, 12,850.82 and 5,333.17

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Solution

The fourth proportional to 9,312.14, 12,850.82 and 5,333.17 is: 7,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.14 : 12,850.82 = 5,333.17 : x
  2. Step 2: Convert to fraction form
    9,312.14/12,850.82 = 5,333.17/x
  3. Step 3: Cross multiply
    9,312.14x = 12,850.82 × 5,333.17
  4. Step 4: Simplify right side
    9,312.14x = 68,535,607.70
  5. Step 5: Solve for x
    x = 68,535,607.70/9,312.14
  6. Step 6: Final answer
    x = 7,359.81

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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.