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Finding the Fourth Proportional to 22,552.51, 33,824.80 and 6,970.27

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Solution

The fourth proportional to 22,552.51, 33,824.80 and 6,970.27 is: 10,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.51 : 33,824.80 = 6,970.27 : x
  2. Step 2: Convert to fraction form
    22,552.51/33,824.80 = 6,970.27/x
  3. Step 3: Cross multiply
    22,552.51x = 33,824.80 × 6,970.27
  4. Step 4: Simplify right side
    22,552.51x = 235,767,988.70
  5. Step 5: Solve for x
    x = 235,767,988.70/22,552.51
  6. Step 6: Final answer
    x = 10,454.18

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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.