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Finding the Fourth Proportional to 9,594.67, 14,372.94 and 7,504.90

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Solution

The fourth proportional to 9,594.67, 14,372.94 and 7,504.90 is: 11,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.67 : 14,372.94 = 7,504.90 : x
  2. Step 2: Convert to fraction form
    9,594.67/14,372.94 = 7,504.90/x
  3. Step 3: Cross multiply
    9,594.67x = 14,372.94 × 7,504.90
  4. Step 4: Simplify right side
    9,594.67x = 107,867,477.41
  5. Step 5: Solve for x
    x = 107,867,477.41/9,594.67
  6. Step 6: Final answer
    x = 11,242.44

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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.