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Finding the Fourth Proportional to 9,167.49, 13,709.20 and 6,829.11

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Solution

The fourth proportional to 9,167.49, 13,709.20 and 6,829.11 is: 10,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.49 : 13,709.20 = 6,829.11 : x
  2. Step 2: Convert to fraction form
    9,167.49/13,709.20 = 6,829.11/x
  3. Step 3: Cross multiply
    9,167.49x = 13,709.20 × 6,829.11
  4. Step 4: Simplify right side
    9,167.49x = 93,621,634.81
  5. Step 5: Solve for x
    x = 93,621,634.81/9,167.49
  6. Step 6: Final answer
    x = 10,212.35

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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.