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Finding the Fourth Proportional to 6,169.64, 9,256.05 and 1,787.45

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Solution

The fourth proportional to 6,169.64, 9,256.05 and 1,787.45 is: 2,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.64 : 9,256.05 = 1,787.45 : x
  2. Step 2: Convert to fraction form
    6,169.64/9,256.05 = 1,787.45/x
  3. Step 3: Cross multiply
    6,169.64x = 9,256.05 × 1,787.45
  4. Step 4: Simplify right side
    6,169.64x = 16,544,680.29
  5. Step 5: Solve for x
    x = 16,544,680.29/6,169.64
  6. Step 6: Final answer
    x = 2,681.63

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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.