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Finding the Fourth Proportional to 12,146.98, 16,762.90 and 6,841.90

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Solution

The fourth proportional to 12,146.98, 16,762.90 and 6,841.90 is: 9,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.98 : 16,762.90 = 6,841.90 : x
  2. Step 2: Convert to fraction form
    12,146.98/16,762.90 = 6,841.90/x
  3. Step 3: Cross multiply
    12,146.98x = 16,762.90 × 6,841.90
  4. Step 4: Simplify right side
    12,146.98x = 114,690,085.51
  5. Step 5: Solve for x
    x = 114,690,085.51/12,146.98
  6. Step 6: Final answer
    x = 9,441.86

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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.