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Finding the Fourth Proportional to 6,903.84, 9,525.66 and 3,919.02

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Solution

The fourth proportional to 6,903.84, 9,525.66 and 3,919.02 is: 5,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.84 : 9,525.66 = 3,919.02 : x
  2. Step 2: Convert to fraction form
    6,903.84/9,525.66 = 3,919.02/x
  3. Step 3: Cross multiply
    6,903.84x = 9,525.66 × 3,919.02
  4. Step 4: Simplify right side
    6,903.84x = 37,331,252.05
  5. Step 5: Solve for x
    x = 37,331,252.05/6,903.84
  6. Step 6: Final answer
    x = 5,407.32

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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.