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Finding the Fourth Proportional to 9,309.84, 13,966.72 and 2,735.48

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Solution

The fourth proportional to 9,309.84, 13,966.72 and 2,735.48 is: 4,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.84 : 13,966.72 = 2,735.48 : x
  2. Step 2: Convert to fraction form
    9,309.84/13,966.72 = 2,735.48/x
  3. Step 3: Cross multiply
    9,309.84x = 13,966.72 × 2,735.48
  4. Step 4: Simplify right side
    9,309.84x = 38,205,683.23
  5. Step 5: Solve for x
    x = 38,205,683.23/9,309.84
  6. Step 6: Final answer
    x = 4,103.80

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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.