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Finding the Fourth Proportional to 15,094.69, 22,642.62 and 7,193.14

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Solution

The fourth proportional to 15,094.69, 22,642.62 and 7,193.14 is: 10,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.69 : 22,642.62 = 7,193.14 : x
  2. Step 2: Convert to fraction form
    15,094.69/22,642.62 = 7,193.14/x
  3. Step 3: Cross multiply
    15,094.69x = 22,642.62 × 7,193.14
  4. Step 4: Simplify right side
    15,094.69x = 162,871,535.63
  5. Step 5: Solve for x
    x = 162,871,535.63/15,094.69
  6. Step 6: Final answer
    x = 10,789.99

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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.