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Finding the Fourth Proportional to 7,609.74, 11,402.10 and 4,681.86

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Solution

The fourth proportional to 7,609.74, 11,402.10 and 4,681.86 is: 7,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.74 : 11,402.10 = 4,681.86 : x
  2. Step 2: Convert to fraction form
    7,609.74/11,402.10 = 4,681.86/x
  3. Step 3: Cross multiply
    7,609.74x = 11,402.10 × 4,681.86
  4. Step 4: Simplify right side
    7,609.74x = 53,383,035.91
  5. Step 5: Solve for x
    x = 53,383,035.91/7,609.74
  6. Step 6: Final answer
    x = 7,015.09

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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.