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Finding the Fourth Proportional to 22,597.22, 33,889.34 and 7,802.30

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Solution

The fourth proportional to 22,597.22, 33,889.34 and 7,802.30 is: 11,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.22 : 33,889.34 = 7,802.30 : x
  2. Step 2: Convert to fraction form
    22,597.22/33,889.34 = 7,802.30/x
  3. Step 3: Cross multiply
    22,597.22x = 33,889.34 × 7,802.30
  4. Step 4: Simplify right side
    22,597.22x = 264,414,797.48
  5. Step 5: Solve for x
    x = 264,414,797.48/22,597.22
  6. Step 6: Final answer
    x = 11,701.21

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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.