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Finding the Fourth Proportional to 6,129.58, 9,191.64 and 1,746.02

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Solution

The fourth proportional to 6,129.58, 9,191.64 and 1,746.02 is: 2,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.58 : 9,191.64 = 1,746.02 : x
  2. Step 2: Convert to fraction form
    6,129.58/9,191.64 = 1,746.02/x
  3. Step 3: Cross multiply
    6,129.58x = 9,191.64 × 1,746.02
  4. Step 4: Simplify right side
    6,129.58x = 16,048,787.27
  5. Step 5: Solve for x
    x = 16,048,787.27/6,129.58
  6. Step 6: Final answer
    x = 2,618.25

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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.