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Finding the Fourth Proportional to 10,267.72, 14,163.06 and 6,073

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Solution

The fourth proportional to 10,267.72, 14,163.06 and 6,073 is: 8,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.72 : 14,163.06 = 6,073 : x
  2. Step 2: Convert to fraction form
    10,267.72/14,163.06 = 6,073/x
  3. Step 3: Cross multiply
    10,267.72x = 14,163.06 × 6,073
  4. Step 4: Simplify right side
    10,267.72x = 86,012,263.38
  5. Step 5: Solve for x
    x = 86,012,263.38/10,267.72
  6. Step 6: Final answer
    x = 8,376.96

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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.