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Finding the Fourth Proportional to 9,605.70, 14,408.55 and 3,032.40

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Solution

The fourth proportional to 9,605.70, 14,408.55 and 3,032.40 is: 4,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.70 : 14,408.55 = 3,032.40 : x
  2. Step 2: Convert to fraction form
    9,605.70/14,408.55 = 3,032.40/x
  3. Step 3: Cross multiply
    9,605.70x = 14,408.55 × 3,032.40
  4. Step 4: Simplify right side
    9,605.70x = 43,692,487.02
  5. Step 5: Solve for x
    x = 43,692,487.02/9,605.70
  6. Step 6: Final answer
    x = 4,548.60

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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.