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Finding the Fourth Proportional to 16,301, 22,496.81 and 9,130.80

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Solution

The fourth proportional to 16,301, 22,496.81 and 9,130.80 is: 12,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301 : 22,496.81 = 9,130.80 : x
  2. Step 2: Convert to fraction form
    16,301/22,496.81 = 9,130.80/x
  3. Step 3: Cross multiply
    16,301x = 22,496.81 × 9,130.80
  4. Step 4: Simplify right side
    16,301x = 205,413,872.75
  5. Step 5: Solve for x
    x = 205,413,872.75/16,301
  6. Step 6: Final answer
    x = 12,601.30

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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.