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Finding the Fourth Proportional to 10,485.46, 14,473.71 and 6,949.81

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Solution

The fourth proportional to 10,485.46, 14,473.71 and 6,949.81 is: 9,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.46 : 14,473.71 = 6,949.81 : x
  2. Step 2: Convert to fraction form
    10,485.46/14,473.71 = 6,949.81/x
  3. Step 3: Cross multiply
    10,485.46x = 14,473.71 × 6,949.81
  4. Step 4: Simplify right side
    10,485.46x = 100,589,534.50
  5. Step 5: Solve for x
    x = 100,589,534.50/10,485.46
  6. Step 6: Final answer
    x = 9,593.24

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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.