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Finding the Fourth Proportional to 13,635.40, 20,409.90 and 9,747.40

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Solution

The fourth proportional to 13,635.40, 20,409.90 and 9,747.40 is: 14,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.40 : 20,409.90 = 9,747.40 : x
  2. Step 2: Convert to fraction form
    13,635.40/20,409.90 = 9,747.40/x
  3. Step 3: Cross multiply
    13,635.40x = 20,409.90 × 9,747.40
  4. Step 4: Simplify right side
    13,635.40x = 198,943,459.26
  5. Step 5: Solve for x
    x = 198,943,459.26/13,635.40
  6. Step 6: Final answer
    x = 14,590.22

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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.