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Finding the Fourth Proportional to 6,188.76, 9,284.52 and 1,806.56

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Solution

The fourth proportional to 6,188.76, 9,284.52 and 1,806.56 is: 2,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.76 : 9,284.52 = 1,806.56 : x
  2. Step 2: Convert to fraction form
    6,188.76/9,284.52 = 1,806.56/x
  3. Step 3: Cross multiply
    6,188.76x = 9,284.52 × 1,806.56
  4. Step 4: Simplify right side
    6,188.76x = 16,773,042.45
  5. Step 5: Solve for x
    x = 16,773,042.45/6,188.76
  6. Step 6: Final answer
    x = 2,710.24

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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.