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Finding the Fourth Proportional to 9,294.54, 13,943.04 and 4,912.17

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Solution

The fourth proportional to 9,294.54, 13,943.04 and 4,912.17 is: 7,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.54 : 13,943.04 = 4,912.17 : x
  2. Step 2: Convert to fraction form
    9,294.54/13,943.04 = 4,912.17/x
  3. Step 3: Cross multiply
    9,294.54x = 13,943.04 × 4,912.17
  4. Step 4: Simplify right side
    9,294.54x = 68,490,582.80
  5. Step 5: Solve for x
    x = 68,490,582.80/9,294.54
  6. Step 6: Final answer
    x = 7,368.91

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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.