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Finding the Fourth Proportional to 8,293.92, 12,430.62 and 3,848.94

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Solution

The fourth proportional to 8,293.92, 12,430.62 and 3,848.94 is: 5,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.92 : 12,430.62 = 3,848.94 : x
  2. Step 2: Convert to fraction form
    8,293.92/12,430.62 = 3,848.94/x
  3. Step 3: Cross multiply
    8,293.92x = 12,430.62 × 3,848.94
  4. Step 4: Simplify right side
    8,293.92x = 47,844,710.54
  5. Step 5: Solve for x
    x = 47,844,710.54/8,293.92
  6. Step 6: Final answer
    x = 5,768.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.