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Finding the Fourth Proportional to 6,503.09, 9,793.31 and 6,065.69

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Solution

The fourth proportional to 6,503.09, 9,793.31 and 6,065.69 is: 9,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.09 : 9,793.31 = 6,065.69 : x
  2. Step 2: Convert to fraction form
    6,503.09/9,793.31 = 6,065.69/x
  3. Step 3: Cross multiply
    6,503.09x = 9,793.31 × 6,065.69
  4. Step 4: Simplify right side
    6,503.09x = 59,403,103.24
  5. Step 5: Solve for x
    x = 59,403,103.24/6,503.09
  6. Step 6: Final answer
    x = 9,134.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.