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Finding the Fourth Proportional to 6,294.29, 9,448.74 and 3,378.29

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Solution

The fourth proportional to 6,294.29, 9,448.74 and 3,378.29 is: 5,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.29 : 9,448.74 = 3,378.29 : x
  2. Step 2: Convert to fraction form
    6,294.29/9,448.74 = 3,378.29/x
  3. Step 3: Cross multiply
    6,294.29x = 9,448.74 × 3,378.29
  4. Step 4: Simplify right side
    6,294.29x = 31,920,583.85
  5. Step 5: Solve for x
    x = 31,920,583.85/6,294.29
  6. Step 6: Final answer
    x = 5,071.36

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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.