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Finding the Fourth Proportional to 30,693.68, 46,048.96 and 10,974.32

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Solution

The fourth proportional to 30,693.68, 46,048.96 and 10,974.32 is: 16,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.68 : 46,048.96 = 10,974.32 : x
  2. Step 2: Convert to fraction form
    30,693.68/46,048.96 = 10,974.32/x
  3. Step 3: Cross multiply
    30,693.68x = 46,048.96 × 10,974.32
  4. Step 4: Simplify right side
    30,693.68x = 505,356,022.71
  5. Step 5: Solve for x
    x = 505,356,022.71/30,693.68
  6. Step 6: Final answer
    x = 16,464.50

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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.