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Finding the Fourth Proportional to 8,492.48, 12,651.16 and 8,234.54

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Solution

The fourth proportional to 8,492.48, 12,651.16 and 8,234.54 is: 12,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.48 : 12,651.16 = 8,234.54 : x
  2. Step 2: Convert to fraction form
    8,492.48/12,651.16 = 8,234.54/x
  3. Step 3: Cross multiply
    8,492.48x = 12,651.16 × 8,234.54
  4. Step 4: Simplify right side
    8,492.48x = 104,176,483.07
  5. Step 5: Solve for x
    x = 104,176,483.07/8,492.48
  6. Step 6: Final answer
    x = 12,266.91

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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.