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Finding the Fourth Proportional to 11,737.60, 17,609.04 and 4,342.06

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Solution

The fourth proportional to 11,737.60, 17,609.04 and 4,342.06 is: 6,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.60 : 17,609.04 = 4,342.06 : x
  2. Step 2: Convert to fraction form
    11,737.60/17,609.04 = 4,342.06/x
  3. Step 3: Cross multiply
    11,737.60x = 17,609.04 × 4,342.06
  4. Step 4: Simplify right side
    11,737.60x = 76,459,508.22
  5. Step 5: Solve for x
    x = 76,459,508.22/11,737.60
  6. Step 6: Final answer
    x = 6,514.07

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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.