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Finding the Fourth Proportional to 14,944.47, 20,616.44 and 9,641

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Solution

The fourth proportional to 14,944.47, 20,616.44 and 9,641 is: 13,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.47 : 20,616.44 = 9,641 : x
  2. Step 2: Convert to fraction form
    14,944.47/20,616.44 = 9,641/x
  3. Step 3: Cross multiply
    14,944.47x = 20,616.44 × 9,641
  4. Step 4: Simplify right side
    14,944.47x = 198,763,098.04
  5. Step 5: Solve for x
    x = 198,763,098.04/14,944.47
  6. Step 6: Final answer
    x = 13,300.11

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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.