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Finding the Fourth Proportional to 14,091.42, 19,444.41 and 7,803.84

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Solution

The fourth proportional to 14,091.42, 19,444.41 and 7,803.84 is: 10,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.42 : 19,444.41 = 7,803.84 : x
  2. Step 2: Convert to fraction form
    14,091.42/19,444.41 = 7,803.84/x
  3. Step 3: Cross multiply
    14,091.42x = 19,444.41 × 7,803.84
  4. Step 4: Simplify right side
    14,091.42x = 151,741,064.53
  5. Step 5: Solve for x
    x = 151,741,064.53/14,091.42
  6. Step 6: Final answer
    x = 10,768.33

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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.