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Finding the Fourth Proportional to 25,962.30, 38,944.31 and 8,193.13

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Solution

The fourth proportional to 25,962.30, 38,944.31 and 8,193.13 is: 12,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962.30 : 38,944.31 = 8,193.13 : x
  2. Step 2: Convert to fraction form
    25,962.30/38,944.31 = 8,193.13/x
  3. Step 3: Cross multiply
    25,962.30x = 38,944.31 × 8,193.13
  4. Step 4: Simplify right side
    25,962.30x = 319,075,656.26
  5. Step 5: Solve for x
    x = 319,075,656.26/25,962.30
  6. Step 6: Final answer
    x = 12,289.96

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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.