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Finding the Fourth Proportional to 30,945.29, 46,415.64 and 9,884.48

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Solution

The fourth proportional to 30,945.29, 46,415.64 and 9,884.48 is: 14,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.29 : 46,415.64 = 9,884.48 : x
  2. Step 2: Convert to fraction form
    30,945.29/46,415.64 = 9,884.48/x
  3. Step 3: Cross multiply
    30,945.29x = 46,415.64 × 9,884.48
  4. Step 4: Simplify right side
    30,945.29x = 458,794,465.27
  5. Step 5: Solve for x
    x = 458,794,465.27/30,945.29
  6. Step 6: Final answer
    x = 14,825.99

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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.