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Finding the Fourth Proportional to 5,968.96, 8,952.64 and 1,586.76

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Solution

The fourth proportional to 5,968.96, 8,952.64 and 1,586.76 is: 2,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.96 : 8,952.64 = 1,586.76 : x
  2. Step 2: Convert to fraction form
    5,968.96/8,952.64 = 1,586.76/x
  3. Step 3: Cross multiply
    5,968.96x = 8,952.64 × 1,586.76
  4. Step 4: Simplify right side
    5,968.96x = 14,205,691.05
  5. Step 5: Solve for x
    x = 14,205,691.05/5,968.96
  6. Step 6: Final answer
    x = 2,379.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.