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Finding the Fourth Proportional to 15,745.65, 23,622.57 and 6,978.48

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Solution

The fourth proportional to 15,745.65, 23,622.57 and 6,978.48 is: 10,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.65 : 23,622.57 = 6,978.48 : x
  2. Step 2: Convert to fraction form
    15,745.65/23,622.57 = 6,978.48/x
  3. Step 3: Cross multiply
    15,745.65x = 23,622.57 × 6,978.48
  4. Step 4: Simplify right side
    15,745.65x = 164,849,632.29
  5. Step 5: Solve for x
    x = 164,849,632.29/15,745.65
  6. Step 6: Final answer
    x = 10,469.53

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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.