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Finding the Fourth Proportional to 29,191, 43,775.16 and 9,464.80

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Solution

The fourth proportional to 29,191, 43,775.16 and 9,464.80 is: 14,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,191 : 43,775.16 = 9,464.80 : x
  2. Step 2: Convert to fraction form
    29,191/43,775.16 = 9,464.80/x
  3. Step 3: Cross multiply
    29,191x = 43,775.16 × 9,464.80
  4. Step 4: Simplify right side
    29,191x = 414,323,134.37
  5. Step 5: Solve for x
    x = 414,323,134.37/29,191
  6. Step 6: Final answer
    x = 14,193.52

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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.