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Finding the Fourth Proportional to 12,244.98, 16,898 and 7,209.14

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Solution

The fourth proportional to 12,244.98, 16,898 and 7,209.14 is: 9,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.98 : 16,898 = 7,209.14 : x
  2. Step 2: Convert to fraction form
    12,244.98/16,898 = 7,209.14/x
  3. Step 3: Cross multiply
    12,244.98x = 16,898 × 7,209.14
  4. Step 4: Simplify right side
    12,244.98x = 121,820,047.72
  5. Step 5: Solve for x
    x = 121,820,047.72/12,244.98
  6. Step 6: Final answer
    x = 9,948.57

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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.