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Finding the Fourth Proportional to 9,954.62, 13,722.66 and 6,369.20

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Solution

The fourth proportional to 9,954.62, 13,722.66 and 6,369.20 is: 8,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.62 : 13,722.66 = 6,369.20 : x
  2. Step 2: Convert to fraction form
    9,954.62/13,722.66 = 6,369.20/x
  3. Step 3: Cross multiply
    9,954.62x = 13,722.66 × 6,369.20
  4. Step 4: Simplify right side
    9,954.62x = 87,402,366.07
  5. Step 5: Solve for x
    x = 87,402,366.07/9,954.62
  6. Step 6: Final answer
    x = 8,780.08

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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.