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Finding the Fourth Proportional to 11,642.01, 17,463.06 and 6,096.99

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Solution

The fourth proportional to 11,642.01, 17,463.06 and 6,096.99 is: 9,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.01 : 17,463.06 = 6,096.99 : x
  2. Step 2: Convert to fraction form
    11,642.01/17,463.06 = 6,096.99/x
  3. Step 3: Cross multiply
    11,642.01x = 17,463.06 × 6,096.99
  4. Step 4: Simplify right side
    11,642.01x = 106,472,102.19
  5. Step 5: Solve for x
    x = 106,472,102.19/11,642.01
  6. Step 6: Final answer
    x = 9,145.51

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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.