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Finding the Fourth Proportional to 25,694.72, 38,544.64 and 6,975.06

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Solution

The fourth proportional to 25,694.72, 38,544.64 and 6,975.06 is: 10,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.72 : 38,544.64 = 6,975.06 : x
  2. Step 2: Convert to fraction form
    25,694.72/38,544.64 = 6,975.06/x
  3. Step 3: Cross multiply
    25,694.72x = 38,544.64 × 6,975.06
  4. Step 4: Simplify right side
    25,694.72x = 268,851,176.68
  5. Step 5: Solve for x
    x = 268,851,176.68/25,694.72
  6. Step 6: Final answer
    x = 10,463.28

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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.