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Finding the Fourth Proportional to 17,094.96, 25,623 and 7,228.08

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Solution

The fourth proportional to 17,094.96, 25,623 and 7,228.08 is: 10,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.96 : 25,623 = 7,228.08 : x
  2. Step 2: Convert to fraction form
    17,094.96/25,623 = 7,228.08/x
  3. Step 3: Cross multiply
    17,094.96x = 25,623 × 7,228.08
  4. Step 4: Simplify right side
    17,094.96x = 185,205,093.84
  5. Step 5: Solve for x
    x = 185,205,093.84/17,094.96
  6. Step 6: Final answer
    x = 10,833.90

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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.