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Finding the Fourth Proportional to 7,201.61, 9,930.80 and 4,683.83

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Solution

The fourth proportional to 7,201.61, 9,930.80 and 4,683.83 is: 6,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.61 : 9,930.80 = 4,683.83 : x
  2. Step 2: Convert to fraction form
    7,201.61/9,930.80 = 4,683.83/x
  3. Step 3: Cross multiply
    7,201.61x = 9,930.80 × 4,683.83
  4. Step 4: Simplify right side
    7,201.61x = 46,514,141.02
  5. Step 5: Solve for x
    x = 46,514,141.02/7,201.61
  6. Step 6: Final answer
    x = 6,458.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.