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Finding the Fourth Proportional to 24,577.50, 36,866.39 and 6,109.50

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Solution

The fourth proportional to 24,577.50, 36,866.39 and 6,109.50 is: 9,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.50 : 36,866.39 = 6,109.50 : x
  2. Step 2: Convert to fraction form
    24,577.50/36,866.39 = 6,109.50/x
  3. Step 3: Cross multiply
    24,577.50x = 36,866.39 × 6,109.50
  4. Step 4: Simplify right side
    24,577.50x = 225,235,179.16
  5. Step 5: Solve for x
    x = 225,235,179.16/24,577.50
  6. Step 6: Final answer
    x = 9,164.28

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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.