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Finding the Fourth Proportional to 6,305.71, 9,458.43 and 1,561.81

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Solution

The fourth proportional to 6,305.71, 9,458.43 and 1,561.81 is: 2,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.71 : 9,458.43 = 1,561.81 : x
  2. Step 2: Convert to fraction form
    6,305.71/9,458.43 = 1,561.81/x
  3. Step 3: Cross multiply
    6,305.71x = 9,458.43 × 1,561.81
  4. Step 4: Simplify right side
    6,305.71x = 14,772,270.56
  5. Step 5: Solve for x
    x = 14,772,270.56/6,305.71
  6. Step 6: Final answer
    x = 2,342.68

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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.