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Finding the Fourth Proportional to 25,165.94, 37,750.25 and 6,446.16

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Solution

The fourth proportional to 25,165.94, 37,750.25 and 6,446.16 is: 9,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.94 : 37,750.25 = 6,446.16 : x
  2. Step 2: Convert to fraction form
    25,165.94/37,750.25 = 6,446.16/x
  3. Step 3: Cross multiply
    25,165.94x = 37,750.25 × 6,446.16
  4. Step 4: Simplify right side
    25,165.94x = 243,344,167.66
  5. Step 5: Solve for x
    x = 243,344,167.66/25,165.94
  6. Step 6: Final answer
    x = 9,669.59

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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.