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Finding the Fourth Proportional to 9,794.01, 14,691.26 and 3,219.93

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Solution

The fourth proportional to 9,794.01, 14,691.26 and 3,219.93 is: 4,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.01 : 14,691.26 = 3,219.93 : x
  2. Step 2: Convert to fraction form
    9,794.01/14,691.26 = 3,219.93/x
  3. Step 3: Cross multiply
    9,794.01x = 14,691.26 × 3,219.93
  4. Step 4: Simplify right side
    9,794.01x = 47,304,812.71
  5. Step 5: Solve for x
    x = 47,304,812.71/9,794.01
  6. Step 6: Final answer
    x = 4,829.97

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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.