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Finding the Fourth Proportional to 7,093.83, 9,787.78 and 4,260.76

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Solution

The fourth proportional to 7,093.83, 9,787.78 and 4,260.76 is: 5,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.83 : 9,787.78 = 4,260.76 : x
  2. Step 2: Convert to fraction form
    7,093.83/9,787.78 = 4,260.76/x
  3. Step 3: Cross multiply
    7,093.83x = 9,787.78 × 4,260.76
  4. Step 4: Simplify right side
    7,093.83x = 41,703,381.51
  5. Step 5: Solve for x
    x = 41,703,381.51/7,093.83
  6. Step 6: Final answer
    x = 5,878.82

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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.