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Finding the Fourth Proportional to 15,822.54, 23,745.42 and 7,063.20

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Solution

The fourth proportional to 15,822.54, 23,745.42 and 7,063.20 is: 10,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.54 : 23,745.42 = 7,063.20 : x
  2. Step 2: Convert to fraction form
    15,822.54/23,745.42 = 7,063.20/x
  3. Step 3: Cross multiply
    15,822.54x = 23,745.42 × 7,063.20
  4. Step 4: Simplify right side
    15,822.54x = 167,718,650.54
  5. Step 5: Solve for x
    x = 167,718,650.54/15,822.54
  6. Step 6: Final answer
    x = 10,599.98

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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.