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Finding the Fourth Proportional to 28,023.40, 42,022.14 and 8,297.20

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Solution

The fourth proportional to 28,023.40, 42,022.14 and 8,297.20 is: 12,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,023.40 : 42,022.14 = 8,297.20 : x
  2. Step 2: Convert to fraction form
    28,023.40/42,022.14 = 8,297.20/x
  3. Step 3: Cross multiply
    28,023.40x = 42,022.14 × 8,297.20
  4. Step 4: Simplify right side
    28,023.40x = 348,666,100.01
  5. Step 5: Solve for x
    x = 348,666,100.01/28,023.40
  6. Step 6: Final answer
    x = 12,441.96

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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.