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Finding the Fourth Proportional to 6,346.09, 9,530.03 and 3,895.30

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Solution

The fourth proportional to 6,346.09, 9,530.03 and 3,895.30 is: 5,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.09 : 9,530.03 = 3,895.30 : x
  2. Step 2: Convert to fraction form
    6,346.09/9,530.03 = 3,895.30/x
  3. Step 3: Cross multiply
    6,346.09x = 9,530.03 × 3,895.30
  4. Step 4: Simplify right side
    6,346.09x = 37,122,325.86
  5. Step 5: Solve for x
    x = 37,122,325.86/6,346.09
  6. Step 6: Final answer
    x = 5,849.64

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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.