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Finding the Fourth Proportional to 7,251, 10,878.21 and 2,056.74

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Solution

The fourth proportional to 7,251, 10,878.21 and 2,056.74 is: 3,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251 : 10,878.21 = 2,056.74 : x
  2. Step 2: Convert to fraction form
    7,251/10,878.21 = 2,056.74/x
  3. Step 3: Cross multiply
    7,251x = 10,878.21 × 2,056.74
  4. Step 4: Simplify right side
    7,251x = 22,373,649.64
  5. Step 5: Solve for x
    x = 22,373,649.64/7,251
  6. Step 6: Final answer
    x = 3,085.60

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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.