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Finding the Fourth Proportional to 30,774.43, 46,167.86 and 9,717.76

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Solution

The fourth proportional to 30,774.43, 46,167.86 and 9,717.76 is: 14,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.43 : 46,167.86 = 9,717.76 : x
  2. Step 2: Convert to fraction form
    30,774.43/46,167.86 = 9,717.76/x
  3. Step 3: Cross multiply
    30,774.43x = 46,167.86 × 9,717.76
  4. Step 4: Simplify right side
    30,774.43x = 448,648,183.19
  5. Step 5: Solve for x
    x = 448,648,183.19/30,774.43
  6. Step 6: Final answer
    x = 14,578.60

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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.