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Finding the Fourth Proportional to 4,129, 6,193.86 and 1,051

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Solution

The fourth proportional to 4,129, 6,193.86 and 1,051 is: 1,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129 : 6,193.86 = 1,051 : x
  2. Step 2: Convert to fraction form
    4,129/6,193.86 = 1,051/x
  3. Step 3: Cross multiply
    4,129x = 6,193.86 × 1,051
  4. Step 4: Simplify right side
    4,129x = 6,509,746.86
  5. Step 5: Solve for x
    x = 6,509,746.86/4,129
  6. Step 6: Final answer
    x = 1,576.59

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Double scale
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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.