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Finding the Fourth Proportional to 7,393.46, 10,202.00 and 4,744.44

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Solution

The fourth proportional to 7,393.46, 10,202.00 and 4,744.44 is: 6,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.46 : 10,202.00 = 4,744.44 : x
  2. Step 2: Convert to fraction form
    7,393.46/10,202.00 = 4,744.44/x
  3. Step 3: Cross multiply
    7,393.46x = 10,202.00 × 4,744.44
  4. Step 4: Simplify right side
    7,393.46x = 48,402,753.16
  5. Step 5: Solve for x
    x = 48,402,753.16/7,393.46
  6. Step 6: Final answer
    x = 6,546.70

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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.