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Finding the Fourth Proportional to 9,606.16, 14,408.20 and 3,032.40

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Solution

The fourth proportional to 9,606.16, 14,408.20 and 3,032.40 is: 4,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.16 : 14,408.20 = 3,032.40 : x
  2. Step 2: Convert to fraction form
    9,606.16/14,408.20 = 3,032.40/x
  3. Step 3: Cross multiply
    9,606.16x = 14,408.20 × 3,032.40
  4. Step 4: Simplify right side
    9,606.16x = 43,691,425.68
  5. Step 5: Solve for x
    x = 43,691,425.68/9,606.16
  6. Step 6: Final answer
    x = 4,548.27

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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.