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Finding the Fourth Proportional to 25,173.77, 37,759.78 and 6,454.00

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Solution

The fourth proportional to 25,173.77, 37,759.78 and 6,454.00 is: 9,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,173.77 : 37,759.78 = 6,454.00 : x
  2. Step 2: Convert to fraction form
    25,173.77/37,759.78 = 6,454.00/x
  3. Step 3: Cross multiply
    25,173.77x = 37,759.78 × 6,454.00
  4. Step 4: Simplify right side
    25,173.77x = 243,701,399.05
  5. Step 5: Solve for x
    x = 243,701,399.05/25,173.77
  6. Step 6: Final answer
    x = 9,680.77

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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.