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Finding the Fourth Proportional to 6,160.51, 9,238.01 and 1,776.92

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Solution

The fourth proportional to 6,160.51, 9,238.01 and 1,776.92 is: 2,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.51 : 9,238.01 = 1,776.92 : x
  2. Step 2: Convert to fraction form
    6,160.51/9,238.01 = 1,776.92/x
  3. Step 3: Cross multiply
    6,160.51x = 9,238.01 × 1,776.92
  4. Step 4: Simplify right side
    6,160.51x = 16,415,204.73
  5. Step 5: Solve for x
    x = 16,415,204.73/6,160.51
  6. Step 6: Final answer
    x = 2,664.59

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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.