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Finding the Fourth Proportional to 4,153, 6,227.28 and 1,230.92

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Solution

The fourth proportional to 4,153, 6,227.28 and 1,230.92 is: 1,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153 : 6,227.28 = 1,230.92 : x
  2. Step 2: Convert to fraction form
    4,153/6,227.28 = 1,230.92/x
  3. Step 3: Cross multiply
    4,153x = 6,227.28 × 1,230.92
  4. Step 4: Simplify right side
    4,153x = 7,665,283.50
  5. Step 5: Solve for x
    x = 7,665,283.50/4,153
  6. Step 6: Final answer
    x = 1,845.72

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Double scale
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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.