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Finding the Fourth Proportional to 6,582.86, 9,876.30 and 3,953.30

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Solution

The fourth proportional to 6,582.86, 9,876.30 and 3,953.30 is: 5,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.86 : 9,876.30 = 3,953.30 : x
  2. Step 2: Convert to fraction form
    6,582.86/9,876.30 = 3,953.30/x
  3. Step 3: Cross multiply
    6,582.86x = 9,876.30 × 3,953.30
  4. Step 4: Simplify right side
    6,582.86x = 39,043,976.79
  5. Step 5: Solve for x
    x = 39,043,976.79/6,582.86
  6. Step 6: Final answer
    x = 5,931.16

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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.