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Finding the Fourth Proportional to 14,616.28, 21,943.85 and 7,695.64

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Solution

The fourth proportional to 14,616.28, 21,943.85 and 7,695.64 is: 11,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.28 : 21,943.85 = 7,695.64 : x
  2. Step 2: Convert to fraction form
    14,616.28/21,943.85 = 7,695.64/x
  3. Step 3: Cross multiply
    14,616.28x = 21,943.85 × 7,695.64
  4. Step 4: Simplify right side
    14,616.28x = 168,871,969.81
  5. Step 5: Solve for x
    x = 168,871,969.81/14,616.28
  6. Step 6: Final answer
    x = 11,553.69

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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.