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Finding the Fourth Proportional to 6,673.60, 9,206 and 5,416.08

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Solution

The fourth proportional to 6,673.60, 9,206 and 5,416.08 is: 7,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.60 : 9,206 = 5,416.08 : x
  2. Step 2: Convert to fraction form
    6,673.60/9,206 = 5,416.08/x
  3. Step 3: Cross multiply
    6,673.60x = 9,206 × 5,416.08
  4. Step 4: Simplify right side
    6,673.60x = 49,860,432.48
  5. Step 5: Solve for x
    x = 49,860,432.48/6,673.60
  6. Step 6: Final answer
    x = 7,471.29

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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.