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Finding the Fourth Proportional to 6,808.64, 9,386.16 and 4,449.92

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Solution

The fourth proportional to 6,808.64, 9,386.16 and 4,449.92 is: 6,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.64 : 9,386.16 = 4,449.92 : x
  2. Step 2: Convert to fraction form
    6,808.64/9,386.16 = 4,449.92/x
  3. Step 3: Cross multiply
    6,808.64x = 9,386.16 × 4,449.92
  4. Step 4: Simplify right side
    6,808.64x = 41,767,661.11
  5. Step 5: Solve for x
    x = 41,767,661.11/6,808.64
  6. Step 6: Final answer
    x = 6,134.51

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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.