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Finding the Fourth Proportional to 6,948.92, 10,424.46 and 2,333.00

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Solution

The fourth proportional to 6,948.92, 10,424.46 and 2,333.00 is: 3,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.92 : 10,424.46 = 2,333.00 : x
  2. Step 2: Convert to fraction form
    6,948.92/10,424.46 = 2,333.00/x
  3. Step 3: Cross multiply
    6,948.92x = 10,424.46 × 2,333.00
  4. Step 4: Simplify right side
    6,948.92x = 24,320,297.07
  5. Step 5: Solve for x
    x = 24,320,297.07/6,948.92
  6. Step 6: Final answer
    x = 3,499.87

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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.