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Finding the Fourth Proportional to 9,671.86, 14,497.66 and 4,052.74

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Solution

The fourth proportional to 9,671.86, 14,497.66 and 4,052.74 is: 6,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.86 : 14,497.66 = 4,052.74 : x
  2. Step 2: Convert to fraction form
    9,671.86/14,497.66 = 4,052.74/x
  3. Step 3: Cross multiply
    9,671.86x = 14,497.66 × 4,052.74
  4. Step 4: Simplify right side
    9,671.86x = 58,755,246.59
  5. Step 5: Solve for x
    x = 58,755,246.59/9,671.86
  6. Step 6: Final answer
    x = 6,074.87

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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.