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Finding the Fourth Proportional to 9,728.86, 14,594.64 and 3,152.92

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Solution

The fourth proportional to 9,728.86, 14,594.64 and 3,152.92 is: 4,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.86 : 14,594.64 = 3,152.92 : x
  2. Step 2: Convert to fraction form
    9,728.86/14,594.64 = 3,152.92/x
  3. Step 3: Cross multiply
    9,728.86x = 14,594.64 × 3,152.92
  4. Step 4: Simplify right side
    9,728.86x = 46,015,732.35
  5. Step 5: Solve for x
    x = 46,015,732.35/9,728.86
  6. Step 6: Final answer
    x = 4,729.82

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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.