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Finding the Fourth Proportional to 6,732.66, 9,289.98 and 3,748.50

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Solution

The fourth proportional to 6,732.66, 9,289.98 and 3,748.50 is: 5,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.66 : 9,289.98 = 3,748.50 : x
  2. Step 2: Convert to fraction form
    6,732.66/9,289.98 = 3,748.50/x
  3. Step 3: Cross multiply
    6,732.66x = 9,289.98 × 3,748.50
  4. Step 4: Simplify right side
    6,732.66x = 34,823,490.03
  5. Step 5: Solve for x
    x = 34,823,490.03/6,732.66
  6. Step 6: Final answer
    x = 5,172.32

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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.