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Finding the Fourth Proportional to 6,500.56, 9,753 and 4,317.88

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Solution

The fourth proportional to 6,500.56, 9,753 and 4,317.88 is: 6,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.56 : 9,753 = 4,317.88 : x
  2. Step 2: Convert to fraction form
    6,500.56/9,753 = 4,317.88/x
  3. Step 3: Cross multiply
    6,500.56x = 9,753 × 4,317.88
  4. Step 4: Simplify right side
    6,500.56x = 42,112,283.64
  5. Step 5: Solve for x
    x = 42,112,283.64/6,500.56
  6. Step 6: Final answer
    x = 6,478.25

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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.