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Finding the Fourth Proportional to 9,776.44, 13,473.40 and 6,943.94

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Solution

The fourth proportional to 9,776.44, 13,473.40 and 6,943.94 is: 9,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.44 : 13,473.40 = 6,943.94 : x
  2. Step 2: Convert to fraction form
    9,776.44/13,473.40 = 6,943.94/x
  3. Step 3: Cross multiply
    9,776.44x = 13,473.40 × 6,943.94
  4. Step 4: Simplify right side
    9,776.44x = 93,558,481.20
  5. Step 5: Solve for x
    x = 93,558,481.20/9,776.44
  6. Step 6: Final answer
    x = 9,569.79

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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.