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Finding the Fourth Proportional to 8,849.94, 12,206.10 and 5,494.74

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Solution

The fourth proportional to 8,849.94, 12,206.10 and 5,494.74 is: 7,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.94 : 12,206.10 = 5,494.74 : x
  2. Step 2: Convert to fraction form
    8,849.94/12,206.10 = 5,494.74/x
  3. Step 3: Cross multiply
    8,849.94x = 12,206.10 × 5,494.74
  4. Step 4: Simplify right side
    8,849.94x = 67,069,345.91
  5. Step 5: Solve for x
    x = 67,069,345.91/8,849.94
  6. Step 6: Final answer
    x = 7,578.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.