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Finding the Fourth Proportional to 24,586.83, 36,880.02 and 7,946.49

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Solution

The fourth proportional to 24,586.83, 36,880.02 and 7,946.49 is: 11,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586.83 : 36,880.02 = 7,946.49 : x
  2. Step 2: Convert to fraction form
    24,586.83/36,880.02 = 7,946.49/x
  3. Step 3: Cross multiply
    24,586.83x = 36,880.02 × 7,946.49
  4. Step 4: Simplify right side
    24,586.83x = 293,066,710.13
  5. Step 5: Solve for x
    x = 293,066,710.13/24,586.83
  6. Step 6: Final answer
    x = 11,919.66

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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.