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Finding the Fourth Proportional to 6,406.71, 8,834.80 and 4,282.25

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Solution

The fourth proportional to 6,406.71, 8,834.80 and 4,282.25 is: 5,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.71 : 8,834.80 = 4,282.25 : x
  2. Step 2: Convert to fraction form
    6,406.71/8,834.80 = 4,282.25/x
  3. Step 3: Cross multiply
    6,406.71x = 8,834.80 × 4,282.25
  4. Step 4: Simplify right side
    6,406.71x = 37,832,794.47
  5. Step 5: Solve for x
    x = 37,832,794.47/6,406.71
  6. Step 6: Final answer
    x = 5,905.18

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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.