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Finding the Fourth Proportional to 8,974.70, 12,384.90 and 4,996.16

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Solution

The fourth proportional to 8,974.70, 12,384.90 and 4,996.16 is: 6,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.70 : 12,384.90 = 4,996.16 : x
  2. Step 2: Convert to fraction form
    8,974.70/12,384.90 = 4,996.16/x
  3. Step 3: Cross multiply
    8,974.70x = 12,384.90 × 4,996.16
  4. Step 4: Simplify right side
    8,974.70x = 61,876,941.98
  5. Step 5: Solve for x
    x = 61,876,941.98/8,974.70
  6. Step 6: Final answer
    x = 6,894.60

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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.