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Finding the Fourth Proportional to 13,552.40, 20,285.40 and 9,664.40

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Solution

The fourth proportional to 13,552.40, 20,285.40 and 9,664.40 is: 14,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.40 : 20,285.40 = 9,664.40 : x
  2. Step 2: Convert to fraction form
    13,552.40/20,285.40 = 9,664.40/x
  3. Step 3: Cross multiply
    13,552.40x = 20,285.40 × 9,664.40
  4. Step 4: Simplify right side
    13,552.40x = 196,046,219.76
  5. Step 5: Solve for x
    x = 196,046,219.76/13,552.40
  6. Step 6: Final answer
    x = 14,465.79

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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.