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Finding the Fourth Proportional to 8,073.92, 12,053.26 and 6,833

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Solution

The fourth proportional to 8,073.92, 12,053.26 and 6,833 is: 10,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.92 : 12,053.26 = 6,833 : x
  2. Step 2: Convert to fraction form
    8,073.92/12,053.26 = 6,833/x
  3. Step 3: Cross multiply
    8,073.92x = 12,053.26 × 6,833
  4. Step 4: Simplify right side
    8,073.92x = 82,359,925.58
  5. Step 5: Solve for x
    x = 82,359,925.58/8,073.92
  6. Step 6: Final answer
    x = 10,200.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.