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Finding the Fourth Proportional to 6,130.48, 9,194.50 and 1,746.76

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Solution

The fourth proportional to 6,130.48, 9,194.50 and 1,746.76 is: 2,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.48 : 9,194.50 = 1,746.76 : x
  2. Step 2: Convert to fraction form
    6,130.48/9,194.50 = 1,746.76/x
  3. Step 3: Cross multiply
    6,130.48x = 9,194.50 × 1,746.76
  4. Step 4: Simplify right side
    6,130.48x = 16,060,584.82
  5. Step 5: Solve for x
    x = 16,060,584.82/6,130.48
  6. Step 6: Final answer
    x = 2,619.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.