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Finding the Fourth Proportional to 30,802.67, 46,212.21 and 9,743.10

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Solution

The fourth proportional to 30,802.67, 46,212.21 and 9,743.10 is: 14,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.67 : 46,212.21 = 9,743.10 : x
  2. Step 2: Convert to fraction form
    30,802.67/46,212.21 = 9,743.10/x
  3. Step 3: Cross multiply
    30,802.67x = 46,212.21 × 9,743.10
  4. Step 4: Simplify right side
    30,802.67x = 450,250,183.25
  5. Step 5: Solve for x
    x = 450,250,183.25/30,802.67
  6. Step 6: Final answer
    x = 14,617.25

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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.