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Finding the Fourth Proportional to 7,643.70, 11,466.16 and 3,261.20

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Solution

The fourth proportional to 7,643.70, 11,466.16 and 3,261.20 is: 4,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.70 : 11,466.16 = 3,261.20 : x
  2. Step 2: Convert to fraction form
    7,643.70/11,466.16 = 3,261.20/x
  3. Step 3: Cross multiply
    7,643.70x = 11,466.16 × 3,261.20
  4. Step 4: Simplify right side
    7,643.70x = 37,393,440.99
  5. Step 5: Solve for x
    x = 37,393,440.99/7,643.70
  6. Step 6: Final answer
    x = 4,892.06

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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.