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Finding the Fourth Proportional to 7,474.11, 10,311.80 and 4,823.28

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Solution

The fourth proportional to 7,474.11, 10,311.80 and 4,823.28 is: 6,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.11 : 10,311.80 = 4,823.28 : x
  2. Step 2: Convert to fraction form
    7,474.11/10,311.80 = 4,823.28/x
  3. Step 3: Cross multiply
    7,474.11x = 10,311.80 × 4,823.28
  4. Step 4: Simplify right side
    7,474.11x = 49,736,674.59
  5. Step 5: Solve for x
    x = 49,736,674.59/7,474.11
  6. Step 6: Final answer
    x = 6,654.53

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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.