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Finding the Fourth Proportional to 22,459.20, 33,688.80 and 6,874.80

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Solution

The fourth proportional to 22,459.20, 33,688.80 and 6,874.80 is: 10,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.20 : 33,688.80 = 6,874.80 : x
  2. Step 2: Convert to fraction form
    22,459.20/33,688.80 = 6,874.80/x
  3. Step 3: Cross multiply
    22,459.20x = 33,688.80 × 6,874.80
  4. Step 4: Simplify right side
    22,459.20x = 231,603,762.24
  5. Step 5: Solve for x
    x = 231,603,762.24/22,459.20
  6. Step 6: Final answer
    x = 10,312.20

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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.