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Finding the Fourth Proportional to 6,788.46, 9,368 and 3,804.32

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Solution

The fourth proportional to 6,788.46, 9,368 and 3,804.32 is: 5,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.46 : 9,368 = 3,804.32 : x
  2. Step 2: Convert to fraction form
    6,788.46/9,368 = 3,804.32/x
  3. Step 3: Cross multiply
    6,788.46x = 9,368 × 3,804.32
  4. Step 4: Simplify right side
    6,788.46x = 35,638,869.76
  5. Step 5: Solve for x
    x = 35,638,869.76/6,788.46
  6. Step 6: Final answer
    x = 5,249.92

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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.