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Finding the Fourth Proportional to 11,164.80, 16,747.20 and 4,588.80

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Solution

The fourth proportional to 11,164.80, 16,747.20 and 4,588.80 is: 6,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.80 : 16,747.20 = 4,588.80 : x
  2. Step 2: Convert to fraction form
    11,164.80/16,747.20 = 4,588.80/x
  3. Step 3: Cross multiply
    11,164.80x = 16,747.20 × 4,588.80
  4. Step 4: Simplify right side
    11,164.80x = 76,849,551.36
  5. Step 5: Solve for x
    x = 76,849,551.36/11,164.80
  6. Step 6: Final answer
    x = 6,883.20

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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.