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Finding the Fourth Proportional to 8,981.56, 13,472.34 and 2,407.78

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Solution

The fourth proportional to 8,981.56, 13,472.34 and 2,407.78 is: 3,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.56 : 13,472.34 = 2,407.78 : x
  2. Step 2: Convert to fraction form
    8,981.56/13,472.34 = 2,407.78/x
  3. Step 3: Cross multiply
    8,981.56x = 13,472.34 × 2,407.78
  4. Step 4: Simplify right side
    8,981.56x = 32,438,430.81
  5. Step 5: Solve for x
    x = 32,438,430.81/8,981.56
  6. Step 6: Final answer
    x = 3,611.67

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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.