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Finding the Fourth Proportional to 4,859.35, 6,702.35 and 3,178.06

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Solution

The fourth proportional to 4,859.35, 6,702.35 and 3,178.06 is: 4,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.35 : 6,702.35 = 3,178.06 : x
  2. Step 2: Convert to fraction form
    4,859.35/6,702.35 = 3,178.06/x
  3. Step 3: Cross multiply
    4,859.35x = 6,702.35 × 3,178.06
  4. Step 4: Simplify right side
    4,859.35x = 21,300,470.44
  5. Step 5: Solve for x
    x = 21,300,470.44/4,859.35
  6. Step 6: Final answer
    x = 4,383.40

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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.