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Finding the Fourth Proportional to 9,689.90, 14,537.19 and 3,844.94

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Solution

The fourth proportional to 9,689.90, 14,537.19 and 3,844.94 is: 5,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.90 : 14,537.19 = 3,844.94 : x
  2. Step 2: Convert to fraction form
    9,689.90/14,537.19 = 3,844.94/x
  3. Step 3: Cross multiply
    9,689.90x = 14,537.19 × 3,844.94
  4. Step 4: Simplify right side
    9,689.90x = 55,894,623.32
  5. Step 5: Solve for x
    x = 55,894,623.32/9,689.90
  6. Step 6: Final answer
    x = 5,768.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.