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Finding the Fourth Proportional to 6,821.46, 10,232.19 and 4,877.46

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Solution

The fourth proportional to 6,821.46, 10,232.19 and 4,877.46 is: 7,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.46 : 10,232.19 = 4,877.46 : x
  2. Step 2: Convert to fraction form
    6,821.46/10,232.19 = 4,877.46/x
  3. Step 3: Cross multiply
    6,821.46x = 10,232.19 × 4,877.46
  4. Step 4: Simplify right side
    6,821.46x = 49,907,097.44
  5. Step 5: Solve for x
    x = 49,907,097.44/6,821.46
  6. Step 6: Final answer
    x = 7,316.19

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Similar ratio
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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.