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Finding the Fourth Proportional to 16,141.12, 24,203.04 and 6,902.08

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Solution

The fourth proportional to 16,141.12, 24,203.04 and 6,902.08 is: 10,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.12 : 24,203.04 = 6,902.08 : x
  2. Step 2: Convert to fraction form
    16,141.12/24,203.04 = 6,902.08/x
  3. Step 3: Cross multiply
    16,141.12x = 24,203.04 × 6,902.08
  4. Step 4: Simplify right side
    16,141.12x = 167,051,318.32
  5. Step 5: Solve for x
    x = 167,051,318.32/16,141.12
  6. Step 6: Final answer
    x = 10,349.43

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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.