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Finding the Fourth Proportional to 22,472.64, 33,706.80 and 6,886.08

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Solution

The fourth proportional to 22,472.64, 33,706.80 and 6,886.08 is: 10,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.64 : 33,706.80 = 6,886.08 : x
  2. Step 2: Convert to fraction form
    22,472.64/33,706.80 = 6,886.08/x
  3. Step 3: Cross multiply
    22,472.64x = 33,706.80 × 6,886.08
  4. Step 4: Simplify right side
    22,472.64x = 232,107,721.34
  5. Step 5: Solve for x
    x = 232,107,721.34/22,472.64
  6. Step 6: Final answer
    x = 10,328.46

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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.