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Finding the Fourth Proportional to 36,461.92, 54,695.04 and 9,811.84

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Solution

The fourth proportional to 36,461.92, 54,695.04 and 9,811.84 is: 14,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461.92 : 54,695.04 = 9,811.84 : x
  2. Step 2: Convert to fraction form
    36,461.92/54,695.04 = 9,811.84/x
  3. Step 3: Cross multiply
    36,461.92x = 54,695.04 × 9,811.84
  4. Step 4: Simplify right side
    36,461.92x = 536,658,981.27
  5. Step 5: Solve for x
    x = 536,658,981.27/36,461.92
  6. Step 6: Final answer
    x = 14,718.34

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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.