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Finding the Fourth Proportional to 8,394.60, 11,586.06 and 4,859.76

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Solution

The fourth proportional to 8,394.60, 11,586.06 and 4,859.76 is: 6,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.60 : 11,586.06 = 4,859.76 : x
  2. Step 2: Convert to fraction form
    8,394.60/11,586.06 = 4,859.76/x
  3. Step 3: Cross multiply
    8,394.60x = 11,586.06 × 4,859.76
  4. Step 4: Simplify right side
    8,394.60x = 56,305,470.95
  5. Step 5: Solve for x
    x = 56,305,470.95/8,394.60
  6. Step 6: Final answer
    x = 6,707.34

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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.