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Finding the Fourth Proportional to 30,693.93, 46,037.78 and 9,634.14

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Solution

The fourth proportional to 30,693.93, 46,037.78 and 9,634.14 is: 14,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.93 : 46,037.78 = 9,634.14 : x
  2. Step 2: Convert to fraction form
    30,693.93/46,037.78 = 9,634.14/x
  3. Step 3: Cross multiply
    30,693.93x = 46,037.78 × 9,634.14
  4. Step 4: Simplify right side
    30,693.93x = 443,534,139.45
  5. Step 5: Solve for x
    x = 443,534,139.45/30,693.93
  6. Step 6: Final answer
    x = 14,450.22

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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.