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Finding the Fourth Proportional to 22,427.76, 33,649.08 and 9,946.08

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Solution

The fourth proportional to 22,427.76, 33,649.08 and 9,946.08 is: 14,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.76 : 33,649.08 = 9,946.08 : x
  2. Step 2: Convert to fraction form
    22,427.76/33,649.08 = 9,946.08/x
  3. Step 3: Cross multiply
    22,427.76x = 33,649.08 × 9,946.08
  4. Step 4: Simplify right side
    22,427.76x = 334,676,441.61
  5. Step 5: Solve for x
    x = 334,676,441.61/22,427.76
  6. Step 6: Final answer
    x = 14,922.42

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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.