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Finding the Fourth Proportional to 9,801.84, 14,717.34 and 9,626.88

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Solution

The fourth proportional to 9,801.84, 14,717.34 and 9,626.88 is: 14,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.84 : 14,717.34 = 9,626.88 : x
  2. Step 2: Convert to fraction form
    9,801.84/14,717.34 = 9,626.88/x
  3. Step 3: Cross multiply
    9,801.84x = 14,717.34 × 9,626.88
  4. Step 4: Simplify right side
    9,801.84x = 141,682,066.10
  5. Step 5: Solve for x
    x = 141,682,066.10/9,801.84
  6. Step 6: Final answer
    x = 14,454.64

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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.