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Finding the Fourth Proportional to 25,143.25, 37,719.73 and 9,559.66

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Solution

The fourth proportional to 25,143.25, 37,719.73 and 9,559.66 is: 14,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.25 : 37,719.73 = 9,559.66 : x
  2. Step 2: Convert to fraction form
    25,143.25/37,719.73 = 9,559.66/x
  3. Step 3: Cross multiply
    25,143.25x = 37,719.73 × 9,559.66
  4. Step 4: Simplify right side
    25,143.25x = 360,587,794.09
  5. Step 5: Solve for x
    x = 360,587,794.09/25,143.25
  6. Step 6: Final answer
    x = 14,341.34

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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.