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Finding the Fourth Proportional to 29,497.86, 44,247.88 and 9,778.14

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Solution

The fourth proportional to 29,497.86, 44,247.88 and 9,778.14 is: 14,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497.86 : 44,247.88 = 9,778.14 : x
  2. Step 2: Convert to fraction form
    29,497.86/44,247.88 = 9,778.14/x
  3. Step 3: Cross multiply
    29,497.86x = 44,247.88 × 9,778.14
  4. Step 4: Simplify right side
    29,497.86x = 432,661,965.34
  5. Step 5: Solve for x
    x = 432,661,965.34/29,497.86
  6. Step 6: Final answer
    x = 14,667.57

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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.