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Finding the Fourth Proportional to 8,484.91, 11,709.17 and 4,947.43

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Solution

The fourth proportional to 8,484.91, 11,709.17 and 4,947.43 is: 6,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.91 : 11,709.17 = 4,947.43 : x
  2. Step 2: Convert to fraction form
    8,484.91/11,709.17 = 4,947.43/x
  3. Step 3: Cross multiply
    8,484.91x = 11,709.17 × 4,947.43
  4. Step 4: Simplify right side
    8,484.91x = 57,930,298.93
  5. Step 5: Solve for x
    x = 57,930,298.93/8,484.91
  6. Step 6: Final answer
    x = 6,827.45

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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.