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Finding the Fourth Proportional to 19,745.73, 29,619 and 6,598.22

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Solution

The fourth proportional to 19,745.73, 29,619 and 6,598.22 is: 9,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.73 : 29,619 = 6,598.22 : x
  2. Step 2: Convert to fraction form
    19,745.73/29,619 = 6,598.22/x
  3. Step 3: Cross multiply
    19,745.73x = 29,619 × 6,598.22
  4. Step 4: Simplify right side
    19,745.73x = 195,432,530.09
  5. Step 5: Solve for x
    x = 195,432,530.09/19,745.73
  6. Step 6: Final answer
    x = 9,897.46

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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.