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Finding the Fourth Proportional to 5,916.74, 8,165.14 and 3,264.22

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Solution

The fourth proportional to 5,916.74, 8,165.14 and 3,264.22 is: 4,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.74 : 8,165.14 = 3,264.22 : x
  2. Step 2: Convert to fraction form
    5,916.74/8,165.14 = 3,264.22/x
  3. Step 3: Cross multiply
    5,916.74x = 8,165.14 × 3,264.22
  4. Step 4: Simplify right side
    5,916.74x = 26,652,813.29
  5. Step 5: Solve for x
    x = 26,652,813.29/5,916.74
  6. Step 6: Final answer
    x = 4,504.65

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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.