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Finding the Fourth Proportional to 8,237.57, 11,365.11 and 4,700.03

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Solution

The fourth proportional to 8,237.57, 11,365.11 and 4,700.03 is: 6,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.57 : 11,365.11 = 4,700.03 : x
  2. Step 2: Convert to fraction form
    8,237.57/11,365.11 = 4,700.03/x
  3. Step 3: Cross multiply
    8,237.57x = 11,365.11 × 4,700.03
  4. Step 4: Simplify right side
    8,237.57x = 53,416,301.13
  5. Step 5: Solve for x
    x = 53,416,301.13/8,237.57
  6. Step 6: Final answer
    x = 6,484.48

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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.