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Finding the Fourth Proportional to 8,304.66, 11,459.07 and 4,947.41

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Solution

The fourth proportional to 8,304.66, 11,459.07 and 4,947.41 is: 6,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.66 : 11,459.07 = 4,947.41 : x
  2. Step 2: Convert to fraction form
    8,304.66/11,459.07 = 4,947.41/x
  3. Step 3: Cross multiply
    8,304.66x = 11,459.07 × 4,947.41
  4. Step 4: Simplify right side
    8,304.66x = 56,692,746.16
  5. Step 5: Solve for x
    x = 56,692,746.16/8,304.66
  6. Step 6: Final answer
    x = 6,826.62

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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.