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Finding the Fourth Proportional to 30,969.76, 46,454.85 and 7,596.19

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Solution

The fourth proportional to 30,969.76, 46,454.85 and 7,596.19 is: 11,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.76 : 46,454.85 = 7,596.19 : x
  2. Step 2: Convert to fraction form
    30,969.76/46,454.85 = 7,596.19/x
  3. Step 3: Cross multiply
    30,969.76x = 46,454.85 × 7,596.19
  4. Step 4: Simplify right side
    30,969.76x = 352,879,867.02
  5. Step 5: Solve for x
    x = 352,879,867.02/30,969.76
  6. Step 6: Final answer
    x = 11,394.34

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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.