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Finding the Fourth Proportional to 7,642.74, 11,464.13 and 2,096.16

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Solution

The fourth proportional to 7,642.74, 11,464.13 and 2,096.16 is: 3,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.74 : 11,464.13 = 2,096.16 : x
  2. Step 2: Convert to fraction form
    7,642.74/11,464.13 = 2,096.16/x
  3. Step 3: Cross multiply
    7,642.74x = 11,464.13 × 2,096.16
  4. Step 4: Simplify right side
    7,642.74x = 24,030,640.26
  5. Step 5: Solve for x
    x = 24,030,640.26/7,642.74
  6. Step 6: Final answer
    x = 3,144.24

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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.