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Finding the Fourth Proportional to 22,643.71, 33,964.02 and 6,849.31

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Solution

The fourth proportional to 22,643.71, 33,964.02 and 6,849.31 is: 10,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.71 : 33,964.02 = 6,849.31 : x
  2. Step 2: Convert to fraction form
    22,643.71/33,964.02 = 6,849.31/x
  3. Step 3: Cross multiply
    22,643.71x = 33,964.02 × 6,849.31
  4. Step 4: Simplify right side
    22,643.71x = 232,630,101.83
  5. Step 5: Solve for x
    x = 232,630,101.83/22,643.71
  6. Step 6: Final answer
    x = 10,273.50

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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.