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Finding the Fourth Proportional to 8,447.03, 11,657.23 and 5,609.50

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Solution

The fourth proportional to 8,447.03, 11,657.23 and 5,609.50 is: 7,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.03 : 11,657.23 = 5,609.50 : x
  2. Step 2: Convert to fraction form
    8,447.03/11,657.23 = 5,609.50/x
  3. Step 3: Cross multiply
    8,447.03x = 11,657.23 × 5,609.50
  4. Step 4: Simplify right side
    8,447.03x = 65,391,145.35
  5. Step 5: Solve for x
    x = 65,391,145.35/8,447.03
  6. Step 6: Final answer
    x = 7,741.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.