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Finding the Fourth Proportional to 6,972.80, 9,624.18 and 4,318.64

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Solution

The fourth proportional to 6,972.80, 9,624.18 and 4,318.64 is: 5,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.80 : 9,624.18 = 4,318.64 : x
  2. Step 2: Convert to fraction form
    6,972.80/9,624.18 = 4,318.64/x
  3. Step 3: Cross multiply
    6,972.80x = 9,624.18 × 4,318.64
  4. Step 4: Simplify right side
    6,972.80x = 41,563,368.72
  5. Step 5: Solve for x
    x = 41,563,368.72/6,972.80
  6. Step 6: Final answer
    x = 5,960.79

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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.