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Finding the Fourth Proportional to 24,849.90, 37,266.94 and 8,206.82

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Solution

The fourth proportional to 24,849.90, 37,266.94 and 8,206.82 is: 12,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849.90 : 37,266.94 = 8,206.82 : x
  2. Step 2: Convert to fraction form
    24,849.90/37,266.94 = 8,206.82/x
  3. Step 3: Cross multiply
    24,849.90x = 37,266.94 × 8,206.82
  4. Step 4: Simplify right side
    24,849.90x = 305,843,068.53
  5. Step 5: Solve for x
    x = 305,843,068.53/24,849.90
  6. Step 6: Final answer
    x = 12,307.62

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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.