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Finding the Fourth Proportional to 19,647.54, 29,468.39 and 7,164.63

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Solution

The fourth proportional to 19,647.54, 29,468.39 and 7,164.63 is: 10,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.54 : 29,468.39 = 7,164.63 : x
  2. Step 2: Convert to fraction form
    19,647.54/29,468.39 = 7,164.63/x
  3. Step 3: Cross multiply
    19,647.54x = 29,468.39 × 7,164.63
  4. Step 4: Simplify right side
    19,647.54x = 211,130,075.22
  5. Step 5: Solve for x
    x = 211,130,075.22/19,647.54
  6. Step 6: Final answer
    x = 10,745.88

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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.