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Finding the Fourth Proportional to 6,495.58, 9,748.84 and 2,800.56

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Solution

The fourth proportional to 6,495.58, 9,748.84 and 2,800.56 is: 4,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.58 : 9,748.84 = 2,800.56 : x
  2. Step 2: Convert to fraction form
    6,495.58/9,748.84 = 2,800.56/x
  3. Step 3: Cross multiply
    6,495.58x = 9,748.84 × 2,800.56
  4. Step 4: Simplify right side
    6,495.58x = 27,302,211.35
  5. Step 5: Solve for x
    x = 27,302,211.35/6,495.58
  6. Step 6: Final answer
    x = 4,203.20

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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.