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Finding the Fourth Proportional to 24,411.53, 36,615.74 and 7,783.49

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Solution

The fourth proportional to 24,411.53, 36,615.74 and 7,783.49 is: 11,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.53 : 36,615.74 = 7,783.49 : x
  2. Step 2: Convert to fraction form
    24,411.53/36,615.74 = 7,783.49/x
  3. Step 3: Cross multiply
    24,411.53x = 36,615.74 × 7,783.49
  4. Step 4: Simplify right side
    24,411.53x = 284,998,024.14
  5. Step 5: Solve for x
    x = 284,998,024.14/24,411.53
  6. Step 6: Final answer
    x = 11,674.73

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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.