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Finding the Fourth Proportional to 6,302.46, 9,446.10 and 3,664.90

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Solution

The fourth proportional to 6,302.46, 9,446.10 and 3,664.90 is: 5,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.46 : 9,446.10 = 3,664.90 : x
  2. Step 2: Convert to fraction form
    6,302.46/9,446.10 = 3,664.90/x
  3. Step 3: Cross multiply
    6,302.46x = 9,446.10 × 3,664.90
  4. Step 4: Simplify right side
    6,302.46x = 34,619,011.89
  5. Step 5: Solve for x
    x = 34,619,011.89/6,302.46
  6. Step 6: Final answer
    x = 5,492.94

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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.