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Finding the Fourth Proportional to 10,896.77, 14,932.80 and 9,847.01

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Solution

The fourth proportional to 10,896.77, 14,932.80 and 9,847.01 is: 13,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.77 : 14,932.80 = 9,847.01 : x
  2. Step 2: Convert to fraction form
    10,896.77/14,932.80 = 9,847.01/x
  3. Step 3: Cross multiply
    10,896.77x = 14,932.80 × 9,847.01
  4. Step 4: Simplify right side
    10,896.77x = 147,043,381.69
  5. Step 5: Solve for x
    x = 147,043,381.69/10,896.77
  6. Step 6: Final answer
    x = 13,494.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.