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Finding the Fourth Proportional to 6,578.24, 9,847.65 and 4,848.08

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Solution

The fourth proportional to 6,578.24, 9,847.65 and 4,848.08 is: 7,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.24 : 9,847.65 = 4,848.08 : x
  2. Step 2: Convert to fraction form
    6,578.24/9,847.65 = 4,848.08/x
  3. Step 3: Cross multiply
    6,578.24x = 9,847.65 × 4,848.08
  4. Step 4: Simplify right side
    6,578.24x = 47,742,195.01
  5. Step 5: Solve for x
    x = 47,742,195.01/6,578.24
  6. Step 6: Final answer
    x = 7,257.59

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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.