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Finding the Fourth Proportional to 6,779.66, 9,356.01 and 3,795.76

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Solution

The fourth proportional to 6,779.66, 9,356.01 and 3,795.76 is: 5,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.66 : 9,356.01 = 3,795.76 : x
  2. Step 2: Convert to fraction form
    6,779.66/9,356.01 = 3,795.76/x
  3. Step 3: Cross multiply
    6,779.66x = 9,356.01 × 3,795.76
  4. Step 4: Simplify right side
    6,779.66x = 35,513,121.74
  5. Step 5: Solve for x
    x = 35,513,121.74/6,779.66
  6. Step 6: Final answer
    x = 5,238.19

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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.