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Finding the Fourth Proportional to 9,274.69, 13,881.66 and 6,809.05

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Solution

The fourth proportional to 9,274.69, 13,881.66 and 6,809.05 is: 10,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.69 : 13,881.66 = 6,809.05 : x
  2. Step 2: Convert to fraction form
    9,274.69/13,881.66 = 6,809.05/x
  3. Step 3: Cross multiply
    9,274.69x = 13,881.66 × 6,809.05
  4. Step 4: Simplify right side
    9,274.69x = 94,520,917.02
  5. Step 5: Solve for x
    x = 94,520,917.02/9,274.69
  6. Step 6: Final answer
    x = 10,191.28

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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.