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Finding the Fourth Proportional to 9,812.80, 14,717.12 and 3,237.42

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Solution

The fourth proportional to 9,812.80, 14,717.12 and 3,237.42 is: 4,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.80 : 14,717.12 = 3,237.42 : x
  2. Step 2: Convert to fraction form
    9,812.80/14,717.12 = 3,237.42/x
  3. Step 3: Cross multiply
    9,812.80x = 14,717.12 × 3,237.42
  4. Step 4: Simplify right side
    9,812.80x = 47,645,498.63
  5. Step 5: Solve for x
    x = 47,645,498.63/9,812.80
  6. Step 6: Final answer
    x = 4,855.44

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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.