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Finding the Fourth Proportional to 8,484.66, 11,708.83 and 4,947.19

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Solution

The fourth proportional to 8,484.66, 11,708.83 and 4,947.19 is: 6,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.66 : 11,708.83 = 4,947.19 : x
  2. Step 2: Convert to fraction form
    8,484.66/11,708.83 = 4,947.19/x
  3. Step 3: Cross multiply
    8,484.66x = 11,708.83 × 4,947.19
  4. Step 4: Simplify right side
    8,484.66x = 57,925,765.05
  5. Step 5: Solve for x
    x = 57,925,765.05/8,484.66
  6. Step 6: Final answer
    x = 6,827.12

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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.