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Finding the Fourth Proportional to 10,569.74, 14,585.38 and 6,090.48

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Solution

The fourth proportional to 10,569.74, 14,585.38 and 6,090.48 is: 8,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.74 : 14,585.38 = 6,090.48 : x
  2. Step 2: Convert to fraction form
    10,569.74/14,585.38 = 6,090.48/x
  3. Step 3: Cross multiply
    10,569.74x = 14,585.38 × 6,090.48
  4. Step 4: Simplify right side
    10,569.74x = 88,831,949.96
  5. Step 5: Solve for x
    x = 88,831,949.96/10,569.74
  6. Step 6: Final answer
    x = 8,404.37

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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.