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Finding the Fourth Proportional to 9,836.01, 14,754.12 and 7,874.11

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Solution

The fourth proportional to 9,836.01, 14,754.12 and 7,874.11 is: 11,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.01 : 14,754.12 = 7,874.11 : x
  2. Step 2: Convert to fraction form
    9,836.01/14,754.12 = 7,874.11/x
  3. Step 3: Cross multiply
    9,836.01x = 14,754.12 × 7,874.11
  4. Step 4: Simplify right side
    9,836.01x = 116,175,563.83
  5. Step 5: Solve for x
    x = 116,175,563.83/9,836.01
  6. Step 6: Final answer
    x = 11,811.25

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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.