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Finding the Fourth Proportional to 9,771.03, 13,484.01 and 5,294.91

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Solution

The fourth proportional to 9,771.03, 13,484.01 and 5,294.91 is: 7,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.03 : 13,484.01 = 5,294.91 : x
  2. Step 2: Convert to fraction form
    9,771.03/13,484.01 = 5,294.91/x
  3. Step 3: Cross multiply
    9,771.03x = 13,484.01 × 5,294.91
  4. Step 4: Simplify right side
    9,771.03x = 71,396,619.39
  5. Step 5: Solve for x
    x = 71,396,619.39/9,771.03
  6. Step 6: Final answer
    x = 7,306.97

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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.