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Finding the Fourth Proportional to 6,556.84, 9,835.96 and 2,859.46

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Solution

The fourth proportional to 6,556.84, 9,835.96 and 2,859.46 is: 4,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.84 : 9,835.96 = 2,859.46 : x
  2. Step 2: Convert to fraction form
    6,556.84/9,835.96 = 2,859.46/x
  3. Step 3: Cross multiply
    6,556.84x = 9,835.96 × 2,859.46
  4. Step 4: Simplify right side
    6,556.84x = 28,125,534.18
  5. Step 5: Solve for x
    x = 28,125,534.18/6,556.84
  6. Step 6: Final answer
    x = 4,289.50

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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.