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Finding the Fourth Proportional to 6,189.80, 9,284.72 and 1,572.80

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Solution

The fourth proportional to 6,189.80, 9,284.72 and 1,572.80 is: 2,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.80 : 9,284.72 = 1,572.80 : x
  2. Step 2: Convert to fraction form
    6,189.80/9,284.72 = 1,572.80/x
  3. Step 3: Cross multiply
    6,189.80x = 9,284.72 × 1,572.80
  4. Step 4: Simplify right side
    6,189.80x = 14,603,007.62
  5. Step 5: Solve for x
    x = 14,603,007.62/6,189.80
  6. Step 6: Final answer
    x = 2,359.21

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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.