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Finding the Fourth Proportional to 10,444.44, 14,415.84 and 7,092.84

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Solution

The fourth proportional to 10,444.44, 14,415.84 and 7,092.84 is: 9,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.44 : 14,415.84 = 7,092.84 : x
  2. Step 2: Convert to fraction form
    10,444.44/14,415.84 = 7,092.84/x
  3. Step 3: Cross multiply
    10,444.44x = 14,415.84 × 7,092.84
  4. Step 4: Simplify right side
    10,444.44x = 102,249,246.59
  5. Step 5: Solve for x
    x = 102,249,246.59/10,444.44
  6. Step 6: Final answer
    x = 9,789.83

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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.