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Finding the Fourth Proportional to 6,995.34, 10,490.49 and 2,314.49

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Solution

The fourth proportional to 6,995.34, 10,490.49 and 2,314.49 is: 3,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.34 : 10,490.49 = 2,314.49 : x
  2. Step 2: Convert to fraction form
    6,995.34/10,490.49 = 2,314.49/x
  3. Step 3: Cross multiply
    6,995.34x = 10,490.49 × 2,314.49
  4. Step 4: Simplify right side
    6,995.34x = 24,280,081.75
  5. Step 5: Solve for x
    x = 24,280,081.75/6,995.34
  6. Step 6: Final answer
    x = 3,470.89

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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.