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Finding the Fourth Proportional to 15,222.82, 22,802.59 and 7,804.82

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Solution

The fourth proportional to 15,222.82, 22,802.59 and 7,804.82 is: 11,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.82 : 22,802.59 = 7,804.82 : x
  2. Step 2: Convert to fraction form
    15,222.82/22,802.59 = 7,804.82/x
  3. Step 3: Cross multiply
    15,222.82x = 22,802.59 × 7,804.82
  4. Step 4: Simplify right side
    15,222.82x = 177,970,110.48
  5. Step 5: Solve for x
    x = 177,970,110.48/15,222.82
  6. Step 6: Final answer
    x = 11,691.01

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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.