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Finding the Fourth Proportional to 13,242.98, 19,846.02 and 9,952.23

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Solution

The fourth proportional to 13,242.98, 19,846.02 and 9,952.23 is: 14,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.98 : 19,846.02 = 9,952.23 : x
  2. Step 2: Convert to fraction form
    13,242.98/19,846.02 = 9,952.23/x
  3. Step 3: Cross multiply
    13,242.98x = 19,846.02 × 9,952.23
  4. Step 4: Simplify right side
    13,242.98x = 197,512,155.62
  5. Step 5: Solve for x
    x = 197,512,155.62/13,242.98
  6. Step 6: Final answer
    x = 14,914.48

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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.