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Finding the Fourth Proportional to 7,878.58, 11,817.87 and 2,035.66

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Solution

The fourth proportional to 7,878.58, 11,817.87 and 2,035.66 is: 3,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.58 : 11,817.87 = 2,035.66 : x
  2. Step 2: Convert to fraction form
    7,878.58/11,817.87 = 2,035.66/x
  3. Step 3: Cross multiply
    7,878.58x = 11,817.87 × 2,035.66
  4. Step 4: Simplify right side
    7,878.58x = 24,057,165.24
  5. Step 5: Solve for x
    x = 24,057,165.24/7,878.58
  6. Step 6: Final answer
    x = 3,053.49

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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.