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Finding the Fourth Proportional to 30,867.63, 46,296.62 and 9,804.90

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Solution

The fourth proportional to 30,867.63, 46,296.62 and 9,804.90 is: 14,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.63 : 46,296.62 = 9,804.90 : x
  2. Step 2: Convert to fraction form
    30,867.63/46,296.62 = 9,804.90/x
  3. Step 3: Cross multiply
    30,867.63x = 46,296.62 × 9,804.90
  4. Step 4: Simplify right side
    30,867.63x = 453,933,680.41
  5. Step 5: Solve for x
    x = 453,933,680.41/30,867.63
  6. Step 6: Final answer
    x = 14,705.82

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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.