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Finding the Fourth Proportional to 36,506.67, 54,766.77 and 11,553

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Solution

The fourth proportional to 36,506.67, 54,766.77 and 11,553 is: 17,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506.67 : 54,766.77 = 11,553 : x
  2. Step 2: Convert to fraction form
    36,506.67/54,766.77 = 11,553/x
  3. Step 3: Cross multiply
    36,506.67x = 54,766.77 × 11,553
  4. Step 4: Simplify right side
    36,506.67x = 632,720,493.81
  5. Step 5: Solve for x
    x = 632,720,493.81/36,506.67
  6. Step 6: Final answer
    x = 17,331.64

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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.