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Finding the Fourth Proportional to 8,305.53, 11,461.67 and 4,947.67

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Solution

The fourth proportional to 8,305.53, 11,461.67 and 4,947.67 is: 6,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.53 : 11,461.67 = 4,947.67 : x
  2. Step 2: Convert to fraction form
    8,305.53/11,461.67 = 4,947.67/x
  3. Step 3: Cross multiply
    8,305.53x = 11,461.67 × 4,947.67
  4. Step 4: Simplify right side
    8,305.53x = 56,708,560.81
  5. Step 5: Solve for x
    x = 56,708,560.81/8,305.53
  6. Step 6: Final answer
    x = 6,827.81

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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.