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Finding the Fourth Proportional to 6,346.93, 9,509.91 and 2,184.70

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Solution

The fourth proportional to 6,346.93, 9,509.91 and 2,184.70 is: 3,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.93 : 9,509.91 = 2,184.70 : x
  2. Step 2: Convert to fraction form
    6,346.93/9,509.91 = 2,184.70/x
  3. Step 3: Cross multiply
    6,346.93x = 9,509.91 × 2,184.70
  4. Step 4: Simplify right side
    6,346.93x = 20,776,300.38
  5. Step 5: Solve for x
    x = 20,776,300.38/6,346.93
  6. Step 6: Final answer
    x = 3,273.44

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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.