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Finding the Fourth Proportional to 25,275.48, 37,920 and 7,744.92

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Solution

The fourth proportional to 25,275.48, 37,920 and 7,744.92 is: 11,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.48 : 37,920 = 7,744.92 : x
  2. Step 2: Convert to fraction form
    25,275.48/37,920 = 7,744.92/x
  3. Step 3: Cross multiply
    25,275.48x = 37,920 × 7,744.92
  4. Step 4: Simplify right side
    25,275.48x = 293,687,366.40
  5. Step 5: Solve for x
    x = 293,687,366.40/25,275.48
  6. Step 6: Final answer
    x = 11,619.46

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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.