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Finding the Fourth Proportional to 9,689.80, 14,534.70 and 3,843.40

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Solution

The fourth proportional to 9,689.80, 14,534.70 and 3,843.40 is: 5,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.80 : 14,534.70 = 3,843.40 : x
  2. Step 2: Convert to fraction form
    9,689.80/14,534.70 = 3,843.40/x
  3. Step 3: Cross multiply
    9,689.80x = 14,534.70 × 3,843.40
  4. Step 4: Simplify right side
    9,689.80x = 55,862,665.98
  5. Step 5: Solve for x
    x = 55,862,665.98/9,689.80
  6. Step 6: Final answer
    x = 5,765.10

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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.