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Finding the Fourth Proportional to 9,913.82, 14,874.12 and 6,211.64

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Solution

The fourth proportional to 9,913.82, 14,874.12 and 6,211.64 is: 9,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.82 : 14,874.12 = 6,211.64 : x
  2. Step 2: Convert to fraction form
    9,913.82/14,874.12 = 6,211.64/x
  3. Step 3: Cross multiply
    9,913.82x = 14,874.12 × 6,211.64
  4. Step 4: Simplify right side
    9,913.82x = 92,392,678.76
  5. Step 5: Solve for x
    x = 92,392,678.76/9,913.82
  6. Step 6: Final answer
    x = 9,319.58

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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.