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Finding the Fourth Proportional to 8,950.31, 12,352.16 and 4,971.67

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Solution

The fourth proportional to 8,950.31, 12,352.16 and 4,971.67 is: 6,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950.31 : 12,352.16 = 4,971.67 : x
  2. Step 2: Convert to fraction form
    8,950.31/12,352.16 = 4,971.67/x
  3. Step 3: Cross multiply
    8,950.31x = 12,352.16 × 4,971.67
  4. Step 4: Simplify right side
    8,950.31x = 61,410,844.86
  5. Step 5: Solve for x
    x = 61,410,844.86/8,950.31
  6. Step 6: Final answer
    x = 6,861.31

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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.