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Finding the Fourth Proportional to 6,309.29, 9,464.07 and 1,629.40

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Solution

The fourth proportional to 6,309.29, 9,464.07 and 1,629.40 is: 2,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.29 : 9,464.07 = 1,629.40 : x
  2. Step 2: Convert to fraction form
    6,309.29/9,464.07 = 1,629.40/x
  3. Step 3: Cross multiply
    6,309.29x = 9,464.07 × 1,629.40
  4. Step 4: Simplify right side
    6,309.29x = 15,420,708.34
  5. Step 5: Solve for x
    x = 15,420,708.34/6,309.29
  6. Step 6: Final answer
    x = 2,444.13

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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.