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Finding the Fourth Proportional to 6,128.78, 9,193.48 and 1,746.54

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Solution

The fourth proportional to 6,128.78, 9,193.48 and 1,746.54 is: 2,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.78 : 9,193.48 = 1,746.54 : x
  2. Step 2: Convert to fraction form
    6,128.78/9,193.48 = 1,746.54/x
  3. Step 3: Cross multiply
    6,128.78x = 9,193.48 × 1,746.54
  4. Step 4: Simplify right side
    6,128.78x = 16,056,780.56
  5. Step 5: Solve for x
    x = 16,056,780.56/6,128.78
  6. Step 6: Final answer
    x = 2,619.90

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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.