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Finding the Fourth Proportional to 8,765.68, 12,096.47 and 4,786.82

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Solution

The fourth proportional to 8,765.68, 12,096.47 and 4,786.82 is: 6,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.68 : 12,096.47 = 4,786.82 : x
  2. Step 2: Convert to fraction form
    8,765.68/12,096.47 = 4,786.82/x
  3. Step 3: Cross multiply
    8,765.68x = 12,096.47 × 4,786.82
  4. Step 4: Simplify right side
    8,765.68x = 57,903,624.53
  5. Step 5: Solve for x
    x = 57,903,624.53/8,765.68
  6. Step 6: Final answer
    x = 6,605.72

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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.