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Finding the Fourth Proportional to 9,984.48, 13,778 and 5,508.48

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Solution

The fourth proportional to 9,984.48, 13,778 and 5,508.48 is: 7,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.48 : 13,778 = 5,508.48 : x
  2. Step 2: Convert to fraction form
    9,984.48/13,778 = 5,508.48/x
  3. Step 3: Cross multiply
    9,984.48x = 13,778 × 5,508.48
  4. Step 4: Simplify right side
    9,984.48x = 75,895,837.44
  5. Step 5: Solve for x
    x = 75,895,837.44/9,984.48
  6. Step 6: Final answer
    x = 7,601.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.