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Finding the Fourth Proportional to 6,228.76, 9,344.40 and 1,845.88

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Solution

The fourth proportional to 6,228.76, 9,344.40 and 1,845.88 is: 2,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.76 : 9,344.40 = 1,845.88 : x
  2. Step 2: Convert to fraction form
    6,228.76/9,344.40 = 1,845.88/x
  3. Step 3: Cross multiply
    6,228.76x = 9,344.40 × 1,845.88
  4. Step 4: Simplify right side
    6,228.76x = 17,248,641.07
  5. Step 5: Solve for x
    x = 17,248,641.07/6,228.76
  6. Step 6: Final answer
    x = 2,769.19

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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.