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Finding the Fourth Proportional to 9,961.29, 14,816.34 and 9,073.71

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Solution

The fourth proportional to 9,961.29, 14,816.34 and 9,073.71 is: 13,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.29 : 14,816.34 = 9,073.71 : x
  2. Step 2: Convert to fraction form
    9,961.29/14,816.34 = 9,073.71/x
  3. Step 3: Cross multiply
    9,961.29x = 14,816.34 × 9,073.71
  4. Step 4: Simplify right side
    9,961.29x = 134,439,172.42
  5. Step 5: Solve for x
    x = 134,439,172.42/9,961.29
  6. Step 6: Final answer
    x = 13,496.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.