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Finding the Fourth Proportional to 9,997.71, 14,996.49 and 2,602.14

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Solution

The fourth proportional to 9,997.71, 14,996.49 and 2,602.14 is: 3,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.71 : 14,996.49 = 2,602.14 : x
  2. Step 2: Convert to fraction form
    9,997.71/14,996.49 = 2,602.14/x
  3. Step 3: Cross multiply
    9,997.71x = 14,996.49 × 2,602.14
  4. Step 4: Simplify right side
    9,997.71x = 39,022,966.49
  5. Step 5: Solve for x
    x = 39,022,966.49/9,997.71
  6. Step 6: Final answer
    x = 3,903.19

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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.