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Finding the Fourth Proportional to 9,773.07, 14,650.51 and 5,324.15

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Solution

The fourth proportional to 9,773.07, 14,650.51 and 5,324.15 is: 7,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.07 : 14,650.51 = 5,324.15 : x
  2. Step 2: Convert to fraction form
    9,773.07/14,650.51 = 5,324.15/x
  3. Step 3: Cross multiply
    9,773.07x = 14,650.51 × 5,324.15
  4. Step 4: Simplify right side
    9,773.07x = 78,001,487.12
  5. Step 5: Solve for x
    x = 78,001,487.12/9,773.07
  6. Step 6: Final answer
    x = 7,981.27

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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.