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Finding the Fourth Proportional to 22,530.76, 33,802.11 and 6,735.15

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Solution

The fourth proportional to 22,530.76, 33,802.11 and 6,735.15 is: 10,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.76 : 33,802.11 = 6,735.15 : x
  2. Step 2: Convert to fraction form
    22,530.76/33,802.11 = 6,735.15/x
  3. Step 3: Cross multiply
    22,530.76x = 33,802.11 × 6,735.15
  4. Step 4: Simplify right side
    22,530.76x = 227,662,281.17
  5. Step 5: Solve for x
    x = 227,662,281.17/22,530.76
  6. Step 6: Final answer
    x = 10,104.51

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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.