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Finding the Fourth Proportional to 6,532.92, 9,801.72 and 4,779.72

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Solution

The fourth proportional to 6,532.92, 9,801.72 and 4,779.72 is: 7,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.92 : 9,801.72 = 4,779.72 : x
  2. Step 2: Convert to fraction form
    6,532.92/9,801.72 = 4,779.72/x
  3. Step 3: Cross multiply
    6,532.92x = 9,801.72 × 4,779.72
  4. Step 4: Simplify right side
    6,532.92x = 46,849,477.12
  5. Step 5: Solve for x
    x = 46,849,477.12/6,532.92
  6. Step 6: Final answer
    x = 7,171.29

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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.