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Finding the Fourth Proportional to 25,055.78, 37,584.30 and 8,416.40

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Solution

The fourth proportional to 25,055.78, 37,584.30 and 8,416.40 is: 12,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055.78 : 37,584.30 = 8,416.40 : x
  2. Step 2: Convert to fraction form
    25,055.78/37,584.30 = 8,416.40/x
  3. Step 3: Cross multiply
    25,055.78x = 37,584.30 × 8,416.40
  4. Step 4: Simplify right side
    25,055.78x = 316,324,502.52
  5. Step 5: Solve for x
    x = 316,324,502.52/25,055.78
  6. Step 6: Final answer
    x = 12,624.81

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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.