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Finding the Fourth Proportional to 29,096.42, 43,646.36 and 9,109.65

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Solution

The fourth proportional to 29,096.42, 43,646.36 and 9,109.65 is: 13,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,096.42 : 43,646.36 = 9,109.65 : x
  2. Step 2: Convert to fraction form
    29,096.42/43,646.36 = 9,109.65/x
  3. Step 3: Cross multiply
    29,096.42x = 43,646.36 × 9,109.65
  4. Step 4: Simplify right side
    29,096.42x = 397,603,017.83
  5. Step 5: Solve for x
    x = 397,603,017.83/29,096.42
  6. Step 6: Final answer
    x = 13,665.02

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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.