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Finding the Fourth Proportional to 30,807.69, 46,213.21 and 9,746.17

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Solution

The fourth proportional to 30,807.69, 46,213.21 and 9,746.17 is: 14,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.69 : 46,213.21 = 9,746.17 : x
  2. Step 2: Convert to fraction form
    30,807.69/46,213.21 = 9,746.17/x
  3. Step 3: Cross multiply
    30,807.69x = 46,213.21 × 9,746.17
  4. Step 4: Simplify right side
    30,807.69x = 450,401,697.56
  5. Step 5: Solve for x
    x = 450,401,697.56/30,807.69
  6. Step 6: Final answer
    x = 14,619.78

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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.