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Finding the Fourth Proportional to 8,492.74, 12,653.01 and 8,074.49

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Solution

The fourth proportional to 8,492.74, 12,653.01 and 8,074.49 is: 12,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.74 : 12,653.01 = 8,074.49 : x
  2. Step 2: Convert to fraction form
    8,492.74/12,653.01 = 8,074.49/x
  3. Step 3: Cross multiply
    8,492.74x = 12,653.01 × 8,074.49
  4. Step 4: Simplify right side
    8,492.74x = 102,166,539.45
  5. Step 5: Solve for x
    x = 102,166,539.45/8,492.74
  6. Step 6: Final answer
    x = 12,029.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.