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Finding the Fourth Proportional to 9,787.74, 14,671.96 and 6,267.74

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Solution

The fourth proportional to 9,787.74, 14,671.96 and 6,267.74 is: 9,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.74 : 14,671.96 = 6,267.74 : x
  2. Step 2: Convert to fraction form
    9,787.74/14,671.96 = 6,267.74/x
  3. Step 3: Cross multiply
    9,787.74x = 14,671.96 × 6,267.74
  4. Step 4: Simplify right side
    9,787.74x = 91,960,030.57
  5. Step 5: Solve for x
    x = 91,960,030.57/9,787.74
  6. Step 6: Final answer
    x = 9,395.43

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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.