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Finding the Fourth Proportional to 22,323.84, 33,484.80 and 6,741

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Solution

The fourth proportional to 22,323.84, 33,484.80 and 6,741 is: 10,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.84 : 33,484.80 = 6,741 : x
  2. Step 2: Convert to fraction form
    22,323.84/33,484.80 = 6,741/x
  3. Step 3: Cross multiply
    22,323.84x = 33,484.80 × 6,741
  4. Step 4: Simplify right side
    22,323.84x = 225,721,036.80
  5. Step 5: Solve for x
    x = 225,721,036.80/22,323.84
  6. Step 6: Final answer
    x = 10,111.21

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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.