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Finding the Fourth Proportional to 7,090.71, 9,787.32 and 4,107.27

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Solution

The fourth proportional to 7,090.71, 9,787.32 and 4,107.27 is: 5,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.71 : 9,787.32 = 4,107.27 : x
  2. Step 2: Convert to fraction form
    7,090.71/9,787.32 = 4,107.27/x
  3. Step 3: Cross multiply
    7,090.71x = 9,787.32 × 4,107.27
  4. Step 4: Simplify right side
    7,090.71x = 40,199,165.82
  5. Step 5: Solve for x
    x = 40,199,165.82/7,090.71
  6. Step 6: Final answer
    x = 5,669.27

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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.