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Finding the Fourth Proportional to 25,281, 37,919.94 and 7,749.48

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Solution

The fourth proportional to 25,281, 37,919.94 and 7,749.48 is: 11,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,281 : 37,919.94 = 7,749.48 : x
  2. Step 2: Convert to fraction form
    25,281/37,919.94 = 7,749.48/x
  3. Step 3: Cross multiply
    25,281x = 37,919.94 × 7,749.48
  4. Step 4: Simplify right side
    25,281x = 293,859,816.63
  5. Step 5: Solve for x
    x = 293,859,816.63/25,281
  6. Step 6: Final answer
    x = 11,623.74

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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.