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Finding the Fourth Proportional to 4,914.29, 6,778.71 and 4,586.24

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Solution

The fourth proportional to 4,914.29, 6,778.71 and 4,586.24 is: 6,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.29 : 6,778.71 = 4,586.24 : x
  2. Step 2: Convert to fraction form
    4,914.29/6,778.71 = 4,586.24/x
  3. Step 3: Cross multiply
    4,914.29x = 6,778.71 × 4,586.24
  4. Step 4: Simplify right side
    4,914.29x = 31,088,757.06
  5. Step 5: Solve for x
    x = 31,088,757.06/4,914.29
  6. Step 6: Final answer
    x = 6,326.20

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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.