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Finding the Fourth Proportional to 10,018.97, 13,824.98 and 5,542.11

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Solution

The fourth proportional to 10,018.97, 13,824.98 and 5,542.11 is: 7,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.97 : 13,824.98 = 5,542.11 : x
  2. Step 2: Convert to fraction form
    10,018.97/13,824.98 = 5,542.11/x
  3. Step 3: Cross multiply
    10,018.97x = 13,824.98 × 5,542.11
  4. Step 4: Simplify right side
    10,018.97x = 76,619,607.45
  5. Step 5: Solve for x
    x = 76,619,607.45/10,018.97
  6. Step 6: Final answer
    x = 7,647.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.