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Finding the Fourth Proportional to 12,230.70, 16,886.34 and 7,699.98

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Solution

The fourth proportional to 12,230.70, 16,886.34 and 7,699.98 is: 10,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.70 : 16,886.34 = 7,699.98 : x
  2. Step 2: Convert to fraction form
    12,230.70/16,886.34 = 7,699.98/x
  3. Step 3: Cross multiply
    12,230.70x = 16,886.34 × 7,699.98
  4. Step 4: Simplify right side
    12,230.70x = 130,024,480.27
  5. Step 5: Solve for x
    x = 130,024,480.27/12,230.70
  6. Step 6: Final answer
    x = 10,630.99

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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.