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Finding the Fourth Proportional to 25,254.74, 37,880.64 and 7,723.16

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Solution

The fourth proportional to 25,254.74, 37,880.64 and 7,723.16 is: 11,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.74 : 37,880.64 = 7,723.16 : x
  2. Step 2: Convert to fraction form
    25,254.74/37,880.64 = 7,723.16/x
  3. Step 3: Cross multiply
    25,254.74x = 37,880.64 × 7,723.16
  4. Step 4: Simplify right side
    25,254.74x = 292,558,243.62
  5. Step 5: Solve for x
    x = 292,558,243.62/25,254.74
  6. Step 6: Final answer
    x = 11,584.29

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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.