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Finding the Fourth Proportional to 6,309.69, 9,465.74 and 2,149.93

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Solution

The fourth proportional to 6,309.69, 9,465.74 and 2,149.93 is: 3,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.69 : 9,465.74 = 2,149.93 : x
  2. Step 2: Convert to fraction form
    6,309.69/9,465.74 = 2,149.93/x
  3. Step 3: Cross multiply
    6,309.69x = 9,465.74 × 2,149.93
  4. Step 4: Simplify right side
    6,309.69x = 20,350,699.64
  5. Step 5: Solve for x
    x = 20,350,699.64/6,309.69
  6. Step 6: Final answer
    x = 3,225.31

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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.