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Finding the Fourth Proportional to 9,771, 13,484.03 and 5,294.74

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Solution

The fourth proportional to 9,771, 13,484.03 and 5,294.74 is: 7,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771 : 13,484.03 = 5,294.74 : x
  2. Step 2: Convert to fraction form
    9,771/13,484.03 = 5,294.74/x
  3. Step 3: Cross multiply
    9,771x = 13,484.03 × 5,294.74
  4. Step 4: Simplify right side
    9,771x = 71,394,433.00
  5. Step 5: Solve for x
    x = 71,394,433.00/9,771
  6. Step 6: Final answer
    x = 7,306.77

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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.