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Finding the Fourth Proportional to 7,748.46, 10,693.00 and 4,211.68

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Solution

The fourth proportional to 7,748.46, 10,693.00 and 4,211.68 is: 5,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.46 : 10,693.00 = 4,211.68 : x
  2. Step 2: Convert to fraction form
    7,748.46/10,693.00 = 4,211.68/x
  3. Step 3: Cross multiply
    7,748.46x = 10,693.00 × 4,211.68
  4. Step 4: Simplify right side
    7,748.46x = 45,035,469.13
  5. Step 5: Solve for x
    x = 45,035,469.13/7,748.46
  6. Step 6: Final answer
    x = 5,812.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.