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Finding the Fourth Proportional to 9,197.29, 13,753.54 and 6,829.84

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Solution

The fourth proportional to 9,197.29, 13,753.54 and 6,829.84 is: 10,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.29 : 13,753.54 = 6,829.84 : x
  2. Step 2: Convert to fraction form
    9,197.29/13,753.54 = 6,829.84/x
  3. Step 3: Cross multiply
    9,197.29x = 13,753.54 × 6,829.84
  4. Step 4: Simplify right side
    9,197.29x = 93,934,477.63
  5. Step 5: Solve for x
    x = 93,934,477.63/9,197.29
  6. Step 6: Final answer
    x = 10,213.28

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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.