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Finding the Fourth Proportional to 8,778.98, 13,168.47 and 4,097.44

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Solution

The fourth proportional to 8,778.98, 13,168.47 and 4,097.44 is: 6,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.98 : 13,168.47 = 4,097.44 : x
  2. Step 2: Convert to fraction form
    8,778.98/13,168.47 = 4,097.44/x
  3. Step 3: Cross multiply
    8,778.98x = 13,168.47 × 4,097.44
  4. Step 4: Simplify right side
    8,778.98x = 53,956,973.47
  5. Step 5: Solve for x
    x = 53,956,973.47/8,778.98
  6. Step 6: Final answer
    x = 6,146.15

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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.