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Finding the Fourth Proportional to 6,972.53, 9,618.06 and 4,451.80

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Solution

The fourth proportional to 6,972.53, 9,618.06 and 4,451.80 is: 6,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.53 : 9,618.06 = 4,451.80 : x
  2. Step 2: Convert to fraction form
    6,972.53/9,618.06 = 4,451.80/x
  3. Step 3: Cross multiply
    6,972.53x = 9,618.06 × 4,451.80
  4. Step 4: Simplify right side
    6,972.53x = 42,817,704.72
  5. Step 5: Solve for x
    x = 42,817,704.72/6,972.53
  6. Step 6: Final answer
    x = 6,140.92

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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.