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Finding the Fourth Proportional to 35,974.22, 53,961.35 and 9,681.62

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Solution

The fourth proportional to 35,974.22, 53,961.35 and 9,681.62 is: 14,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974.22 : 53,961.35 = 9,681.62 : x
  2. Step 2: Convert to fraction form
    35,974.22/53,961.35 = 9,681.62/x
  3. Step 3: Cross multiply
    35,974.22x = 53,961.35 × 9,681.62
  4. Step 4: Simplify right side
    35,974.22x = 522,432,967.17
  5. Step 5: Solve for x
    x = 522,432,967.17/35,974.22
  6. Step 6: Final answer
    x = 14,522.43

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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.