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Finding the Fourth Proportional to 16,577.50, 24,866.25 and 5,633.50

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Solution

The fourth proportional to 16,577.50, 24,866.25 and 5,633.50 is: 8,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.50 : 24,866.25 = 5,633.50 : x
  2. Step 2: Convert to fraction form
    16,577.50/24,866.25 = 5,633.50/x
  3. Step 3: Cross multiply
    16,577.50x = 24,866.25 × 5,633.50
  4. Step 4: Simplify right side
    16,577.50x = 140,084,019.38
  5. Step 5: Solve for x
    x = 140,084,019.38/16,577.50
  6. Step 6: Final answer
    x = 8,450.25

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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.