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Finding the Fourth Proportional to 4,698.88, 6,477 and 3,702.64

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Solution

The fourth proportional to 4,698.88, 6,477 and 3,702.64 is: 5,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.88 : 6,477 = 3,702.64 : x
  2. Step 2: Convert to fraction form
    4,698.88/6,477 = 3,702.64/x
  3. Step 3: Cross multiply
    4,698.88x = 6,477 × 3,702.64
  4. Step 4: Simplify right side
    4,698.88x = 23,981,999.28
  5. Step 5: Solve for x
    x = 23,981,999.28/4,698.88
  6. Step 6: Final answer
    x = 5,103.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.