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Finding the Fourth Proportional to 30,746.73, 46,117.80 and 8,255.55

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Solution

The fourth proportional to 30,746.73, 46,117.80 and 8,255.55 is: 12,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.73 : 46,117.80 = 8,255.55 : x
  2. Step 2: Convert to fraction form
    30,746.73/46,117.80 = 8,255.55/x
  3. Step 3: Cross multiply
    30,746.73x = 46,117.80 × 8,255.55
  4. Step 4: Simplify right side
    30,746.73x = 380,727,803.79
  5. Step 5: Solve for x
    x = 380,727,803.79/30,746.73
  6. Step 6: Final answer
    x = 12,382.71

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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.