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Finding the Fourth Proportional to 7,165.76, 9,893.08 and 4,686.08

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Solution

The fourth proportional to 7,165.76, 9,893.08 and 4,686.08 is: 6,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.76 : 9,893.08 = 4,686.08 : x
  2. Step 2: Convert to fraction form
    7,165.76/9,893.08 = 4,686.08/x
  3. Step 3: Cross multiply
    7,165.76x = 9,893.08 × 4,686.08
  4. Step 4: Simplify right side
    7,165.76x = 46,359,764.33
  5. Step 5: Solve for x
    x = 46,359,764.33/7,165.76
  6. Step 6: Final answer
    x = 6,469.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.