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Finding the Fourth Proportional to 8,945.86, 13,421.22 and 6,365.20

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Solution

The fourth proportional to 8,945.86, 13,421.22 and 6,365.20 is: 9,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.86 : 13,421.22 = 6,365.20 : x
  2. Step 2: Convert to fraction form
    8,945.86/13,421.22 = 6,365.20/x
  3. Step 3: Cross multiply
    8,945.86x = 13,421.22 × 6,365.20
  4. Step 4: Simplify right side
    8,945.86x = 85,428,749.54
  5. Step 5: Solve for x
    x = 85,428,749.54/8,945.86
  6. Step 6: Final answer
    x = 9,549.53

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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.