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Finding the Fourth Proportional to 9,722.78, 13,403.08 and 6,881.32

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Solution

The fourth proportional to 9,722.78, 13,403.08 and 6,881.32 is: 9,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.78 : 13,403.08 = 6,881.32 : x
  2. Step 2: Convert to fraction form
    9,722.78/13,403.08 = 6,881.32/x
  3. Step 3: Cross multiply
    9,722.78x = 13,403.08 × 6,881.32
  4. Step 4: Simplify right side
    9,722.78x = 92,230,882.47
  5. Step 5: Solve for x
    x = 92,230,882.47/9,722.78
  6. Step 6: Final answer
    x = 9,486.06

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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.