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Finding the Fourth Proportional to 6,886.28, 9,498.81 and 6,004.19

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Solution

The fourth proportional to 6,886.28, 9,498.81 and 6,004.19 is: 8,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.28 : 9,498.81 = 6,004.19 : x
  2. Step 2: Convert to fraction form
    6,886.28/9,498.81 = 6,004.19/x
  3. Step 3: Cross multiply
    6,886.28x = 9,498.81 × 6,004.19
  4. Step 4: Simplify right side
    6,886.28x = 57,032,660.01
  5. Step 5: Solve for x
    x = 57,032,660.01/6,886.28
  6. Step 6: Final answer
    x = 8,282.07

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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.