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Finding the Fourth Proportional to 22,307.32, 33,462.94 and 6,297

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Solution

The fourth proportional to 22,307.32, 33,462.94 and 6,297 is: 9,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.32 : 33,462.94 = 6,297 : x
  2. Step 2: Convert to fraction form
    22,307.32/33,462.94 = 6,297/x
  3. Step 3: Cross multiply
    22,307.32x = 33,462.94 × 6,297
  4. Step 4: Simplify right side
    22,307.32x = 210,716,133.18
  5. Step 5: Solve for x
    x = 210,716,133.18/22,307.32
  6. Step 6: Final answer
    x = 9,446.05

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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.