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Finding the Fourth Proportional to 22,562.70, 33,856.20 and 9,416.40

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Solution

The fourth proportional to 22,562.70, 33,856.20 and 9,416.40 is: 14,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.70 : 33,856.20 = 9,416.40 : x
  2. Step 2: Convert to fraction form
    22,562.70/33,856.20 = 9,416.40/x
  3. Step 3: Cross multiply
    22,562.70x = 33,856.20 × 9,416.40
  4. Step 4: Simplify right side
    22,562.70x = 318,803,521.68
  5. Step 5: Solve for x
    x = 318,803,521.68/22,562.70
  6. Step 6: Final answer
    x = 14,129.67

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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.