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Finding the Fourth Proportional to 24,809.21, 37,215.02 and 7,277.57

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Solution

The fourth proportional to 24,809.21, 37,215.02 and 7,277.57 is: 10,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.21 : 37,215.02 = 7,277.57 : x
  2. Step 2: Convert to fraction form
    24,809.21/37,215.02 = 7,277.57/x
  3. Step 3: Cross multiply
    24,809.21x = 37,215.02 × 7,277.57
  4. Step 4: Simplify right side
    24,809.21x = 270,834,727.03
  5. Step 5: Solve for x
    x = 270,834,727.03/24,809.21
  6. Step 6: Final answer
    x = 10,916.70

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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.