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Finding the Fourth Proportional to 22,642.61, 33,952.98 and 9,491.45

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Solution

The fourth proportional to 22,642.61, 33,952.98 and 9,491.45 is: 14,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.61 : 33,952.98 = 9,491.45 : x
  2. Step 2: Convert to fraction form
    22,642.61/33,952.98 = 9,491.45/x
  3. Step 3: Cross multiply
    22,642.61x = 33,952.98 × 9,491.45
  4. Step 4: Simplify right side
    22,642.61x = 322,262,842.26
  5. Step 5: Solve for x
    x = 322,262,842.26/22,642.61
  6. Step 6: Final answer
    x = 14,232.59

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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.