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Finding the Fourth Proportional to 22,232.04, 33,345.60 and 6,646

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Solution

The fourth proportional to 22,232.04, 33,345.60 and 6,646 is: 9,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.04 : 33,345.60 = 6,646 : x
  2. Step 2: Convert to fraction form
    22,232.04/33,345.60 = 6,646/x
  3. Step 3: Cross multiply
    22,232.04x = 33,345.60 × 6,646
  4. Step 4: Simplify right side
    22,232.04x = 221,614,857.60
  5. Step 5: Solve for x
    x = 221,614,857.60/22,232.04
  6. Step 6: Final answer
    x = 9,968.26

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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.