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Finding the Fourth Proportional to 6,401.81, 8,830.91 and 3,748.70

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Solution

The fourth proportional to 6,401.81, 8,830.91 and 3,748.70 is: 5,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.81 : 8,830.91 = 3,748.70 : x
  2. Step 2: Convert to fraction form
    6,401.81/8,830.91 = 3,748.70/x
  3. Step 3: Cross multiply
    6,401.81x = 8,830.91 × 3,748.70
  4. Step 4: Simplify right side
    6,401.81x = 33,104,463.77
  5. Step 5: Solve for x
    x = 33,104,463.77/6,401.81
  6. Step 6: Final answer
    x = 5,171.11

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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.