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Finding the Fourth Proportional to 5,948.70, 8,223.03 and 5,948.70

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Solution

The fourth proportional to 5,948.70, 8,223.03 and 5,948.70 is: 8,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.70 : 8,223.03 = 5,948.70 : x
  2. Step 2: Convert to fraction form
    5,948.70/8,223.03 = 5,948.70/x
  3. Step 3: Cross multiply
    5,948.70x = 8,223.03 × 5,948.70
  4. Step 4: Simplify right side
    5,948.70x = 48,916,338.56
  5. Step 5: Solve for x
    x = 48,916,338.56/5,948.70
  6. Step 6: Final answer
    x = 8,223.03

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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.