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Finding the Fourth Proportional to 25,302.94, 37,958.49 and 9,509.20

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Solution

The fourth proportional to 25,302.94, 37,958.49 and 9,509.20 is: 14,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.94 : 37,958.49 = 9,509.20 : x
  2. Step 2: Convert to fraction form
    25,302.94/37,958.49 = 9,509.20/x
  3. Step 3: Cross multiply
    25,302.94x = 37,958.49 × 9,509.20
  4. Step 4: Simplify right side
    25,302.94x = 360,954,873.11
  5. Step 5: Solve for x
    x = 360,954,873.11/25,302.94
  6. Step 6: Final answer
    x = 14,265.33

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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.