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Finding the Fourth Proportional to 7,092.30, 9,787.86 and 4,698.14

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Solution

The fourth proportional to 7,092.30, 9,787.86 and 4,698.14 is: 6,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.30 : 9,787.86 = 4,698.14 : x
  2. Step 2: Convert to fraction form
    7,092.30/9,787.86 = 4,698.14/x
  3. Step 3: Cross multiply
    7,092.30x = 9,787.86 × 4,698.14
  4. Step 4: Simplify right side
    7,092.30x = 45,984,736.58
  5. Step 5: Solve for x
    x = 45,984,736.58/7,092.30
  6. Step 6: Final answer
    x = 6,483.76

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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.