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Finding the Fourth Proportional to 6,787.44, 9,365.22 and 4,130.10

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Solution

The fourth proportional to 6,787.44, 9,365.22 and 4,130.10 is: 5,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.44 : 9,365.22 = 4,130.10 : x
  2. Step 2: Convert to fraction form
    6,787.44/9,365.22 = 4,130.10/x
  3. Step 3: Cross multiply
    6,787.44x = 9,365.22 × 4,130.10
  4. Step 4: Simplify right side
    6,787.44x = 38,679,295.12
  5. Step 5: Solve for x
    x = 38,679,295.12/6,787.44
  6. Step 6: Final answer
    x = 5,698.66

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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.