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Finding the Fourth Proportional to 9,917.98, 14,876.56 and 4,074.44

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Solution

The fourth proportional to 9,917.98, 14,876.56 and 4,074.44 is: 6,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.98 : 14,876.56 = 4,074.44 : x
  2. Step 2: Convert to fraction form
    9,917.98/14,876.56 = 4,074.44/x
  3. Step 3: Cross multiply
    9,917.98x = 14,876.56 × 4,074.44
  4. Step 4: Simplify right side
    9,917.98x = 60,613,651.13
  5. Step 5: Solve for x
    x = 60,613,651.13/9,917.98
  6. Step 6: Final answer
    x = 6,111.49

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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.