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Finding the Fourth Proportional to 9,809.13, 14,686.73 and 6,850.53

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Solution

The fourth proportional to 9,809.13, 14,686.73 and 6,850.53 is: 10,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.13 : 14,686.73 = 6,850.53 : x
  2. Step 2: Convert to fraction form
    9,809.13/14,686.73 = 6,850.53/x
  3. Step 3: Cross multiply
    9,809.13x = 14,686.73 × 6,850.53
  4. Step 4: Simplify right side
    9,809.13x = 100,611,850.21
  5. Step 5: Solve for x
    x = 100,611,850.21/9,809.13
  6. Step 6: Final answer
    x = 10,256.96

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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.