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Finding the Fourth Proportional to 10,670.49, 14,718.11 and 6,944.49

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Solution

The fourth proportional to 10,670.49, 14,718.11 and 6,944.49 is: 9,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.49 : 14,718.11 = 6,944.49 : x
  2. Step 2: Convert to fraction form
    10,670.49/14,718.11 = 6,944.49/x
  3. Step 3: Cross multiply
    10,670.49x = 14,718.11 × 6,944.49
  4. Step 4: Simplify right side
    10,670.49x = 102,209,732.99
  5. Step 5: Solve for x
    x = 102,209,732.99/10,670.49
  6. Step 6: Final answer
    x = 9,578.73

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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.