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Finding the Fourth Proportional to 6,188.71, 9,283.05 and 1,806.16

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Solution

The fourth proportional to 6,188.71, 9,283.05 and 1,806.16 is: 2,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.71 : 9,283.05 = 1,806.16 : x
  2. Step 2: Convert to fraction form
    6,188.71/9,283.05 = 1,806.16/x
  3. Step 3: Cross multiply
    6,188.71x = 9,283.05 × 1,806.16
  4. Step 4: Simplify right side
    6,188.71x = 16,766,673.59
  5. Step 5: Solve for x
    x = 16,766,673.59/6,188.71
  6. Step 6: Final answer
    x = 2,709.24

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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.