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Finding the Fourth Proportional to 9,801.68, 14,697.04 and 3,226.16

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Solution

The fourth proportional to 9,801.68, 14,697.04 and 3,226.16 is: 4,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.68 : 14,697.04 = 3,226.16 : x
  2. Step 2: Convert to fraction form
    9,801.68/14,697.04 = 3,226.16/x
  3. Step 3: Cross multiply
    9,801.68x = 14,697.04 × 3,226.16
  4. Step 4: Simplify right side
    9,801.68x = 47,415,002.57
  5. Step 5: Solve for x
    x = 47,415,002.57/9,801.68
  6. Step 6: Final answer
    x = 4,837.44

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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.