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Finding the Fourth Proportional to 6,458.52, 9,684.42 and 2,297.93

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Solution

The fourth proportional to 6,458.52, 9,684.42 and 2,297.93 is: 3,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.52 : 9,684.42 = 2,297.93 : x
  2. Step 2: Convert to fraction form
    6,458.52/9,684.42 = 2,297.93/x
  3. Step 3: Cross multiply
    6,458.52x = 9,684.42 × 2,297.93
  4. Step 4: Simplify right side
    6,458.52x = 22,254,059.34
  5. Step 5: Solve for x
    x = 22,254,059.34/6,458.52
  6. Step 6: Final answer
    x = 3,445.69

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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.