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Finding the Fourth Proportional to 6,977.08, 9,628.04 and 3,833.08

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Solution

The fourth proportional to 6,977.08, 9,628.04 and 3,833.08 is: 5,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.08 : 9,628.04 = 3,833.08 : x
  2. Step 2: Convert to fraction form
    6,977.08/9,628.04 = 3,833.08/x
  3. Step 3: Cross multiply
    6,977.08x = 9,628.04 × 3,833.08
  4. Step 4: Simplify right side
    6,977.08x = 36,905,047.56
  5. Step 5: Solve for x
    x = 36,905,047.56/6,977.08
  6. Step 6: Final answer
    x = 5,289.47

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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.