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Finding the Fourth Proportional to 6,297.95, 9,439.17 and 2,784.17

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Solution

The fourth proportional to 6,297.95, 9,439.17 and 2,784.17 is: 4,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.95 : 9,439.17 = 2,784.17 : x
  2. Step 2: Convert to fraction form
    6,297.95/9,439.17 = 2,784.17/x
  3. Step 3: Cross multiply
    6,297.95x = 9,439.17 × 2,784.17
  4. Step 4: Simplify right side
    6,297.95x = 26,280,206.74
  5. Step 5: Solve for x
    x = 26,280,206.74/6,297.95
  6. Step 6: Final answer
    x = 4,172.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.