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Finding the Fourth Proportional to 11,470.96, 17,184.04 and 7,904.68

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Solution

The fourth proportional to 11,470.96, 17,184.04 and 7,904.68 is: 11,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.96 : 17,184.04 = 7,904.68 : x
  2. Step 2: Convert to fraction form
    11,470.96/17,184.04 = 7,904.68/x
  3. Step 3: Cross multiply
    11,470.96x = 17,184.04 × 7,904.68
  4. Step 4: Simplify right side
    11,470.96x = 135,834,337.31
  5. Step 5: Solve for x
    x = 135,834,337.31/11,470.96
  6. Step 6: Final answer
    x = 11,841.58

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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.