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Finding the Fourth Proportional to 26,228.84, 39,343.26 and 9,809

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Solution

The fourth proportional to 26,228.84, 39,343.26 and 9,809 is: 14,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228.84 : 39,343.26 = 9,809 : x
  2. Step 2: Convert to fraction form
    26,228.84/39,343.26 = 9,809/x
  3. Step 3: Cross multiply
    26,228.84x = 39,343.26 × 9,809
  4. Step 4: Simplify right side
    26,228.84x = 385,918,037.34
  5. Step 5: Solve for x
    x = 385,918,037.34/26,228.84
  6. Step 6: Final answer
    x = 14,713.50

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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.