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Finding the Fourth Proportional to 9,690.92, 13,374.94 and 5,916.29

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Solution

The fourth proportional to 9,690.92, 13,374.94 and 5,916.29 is: 8,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.92 : 13,374.94 = 5,916.29 : x
  2. Step 2: Convert to fraction form
    9,690.92/13,374.94 = 5,916.29/x
  3. Step 3: Cross multiply
    9,690.92x = 13,374.94 × 5,916.29
  4. Step 4: Simplify right side
    9,690.92x = 79,130,028.43
  5. Step 5: Solve for x
    x = 79,130,028.43/9,690.92
  6. Step 6: Final answer
    x = 8,165.37

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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.