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Finding the Fourth Proportional to 9,563.70, 14,249.42 and 9,026.53

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Solution

The fourth proportional to 9,563.70, 14,249.42 and 9,026.53 is: 13,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.70 : 14,249.42 = 9,026.53 : x
  2. Step 2: Convert to fraction form
    9,563.70/14,249.42 = 9,026.53/x
  3. Step 3: Cross multiply
    9,563.70x = 14,249.42 × 9,026.53
  4. Step 4: Simplify right side
    9,563.70x = 128,622,817.11
  5. Step 5: Solve for x
    x = 128,622,817.11/9,563.70
  6. Step 6: Final answer
    x = 13,449.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.