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Finding the Fourth Proportional to 16,064.02, 22,169.22 and 9,259.06

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Solution

The fourth proportional to 16,064.02, 22,169.22 and 9,259.06 is: 12,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.02 : 22,169.22 = 9,259.06 : x
  2. Step 2: Convert to fraction form
    16,064.02/22,169.22 = 9,259.06/x
  3. Step 3: Cross multiply
    16,064.02x = 22,169.22 × 9,259.06
  4. Step 4: Simplify right side
    16,064.02x = 205,266,138.13
  5. Step 5: Solve for x
    x = 205,266,138.13/16,064.02
  6. Step 6: Final answer
    x = 12,778.01

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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.