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Finding the Fourth Proportional to 22,874.84, 34,307.46 and 6,455

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Solution

The fourth proportional to 22,874.84, 34,307.46 and 6,455 is: 9,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.84 : 34,307.46 = 6,455 : x
  2. Step 2: Convert to fraction form
    22,874.84/34,307.46 = 6,455/x
  3. Step 3: Cross multiply
    22,874.84x = 34,307.46 × 6,455
  4. Step 4: Simplify right side
    22,874.84x = 221,454,654.30
  5. Step 5: Solve for x
    x = 221,454,654.30/22,874.84
  6. Step 6: Final answer
    x = 9,681.15

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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.