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Finding the Fourth Proportional to 13,735.98, 18,948.87 and 9,253.98

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Solution

The fourth proportional to 13,735.98, 18,948.87 and 9,253.98 is: 12,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.98 : 18,948.87 = 9,253.98 : x
  2. Step 2: Convert to fraction form
    13,735.98/18,948.87 = 9,253.98/x
  3. Step 3: Cross multiply
    13,735.98x = 18,948.87 × 9,253.98
  4. Step 4: Simplify right side
    13,735.98x = 175,352,464.00
  5. Step 5: Solve for x
    x = 175,352,464.00/13,735.98
  6. Step 6: Final answer
    x = 12,765.92

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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.