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Finding the Fourth Proportional to 6,159.51, 9,243.72 and 2,462.77

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Solution

The fourth proportional to 6,159.51, 9,243.72 and 2,462.77 is: 3,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.51 : 9,243.72 = 2,462.77 : x
  2. Step 2: Convert to fraction form
    6,159.51/9,243.72 = 2,462.77/x
  3. Step 3: Cross multiply
    6,159.51x = 9,243.72 × 2,462.77
  4. Step 4: Simplify right side
    6,159.51x = 22,765,133.20
  5. Step 5: Solve for x
    x = 22,765,133.20/6,159.51
  6. Step 6: Final answer
    x = 3,695.93

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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.