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Finding the Fourth Proportional to 9,647.70, 14,476.06 and 3,412.44

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Solution

The fourth proportional to 9,647.70, 14,476.06 and 3,412.44 is: 5,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.70 : 14,476.06 = 3,412.44 : x
  2. Step 2: Convert to fraction form
    9,647.70/14,476.06 = 3,412.44/x
  3. Step 3: Cross multiply
    9,647.70x = 14,476.06 × 3,412.44
  4. Step 4: Simplify right side
    9,647.70x = 49,398,686.19
  5. Step 5: Solve for x
    x = 49,398,686.19/9,647.70
  6. Step 6: Final answer
    x = 5,120.26

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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.