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Finding the Fourth Proportional to 4,658.16, 7,018.34 and 4,213.94

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Solution

The fourth proportional to 4,658.16, 7,018.34 and 4,213.94 is: 6,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.16 : 7,018.34 = 4,213.94 : x
  2. Step 2: Convert to fraction form
    4,658.16/7,018.34 = 4,213.94/x
  3. Step 3: Cross multiply
    4,658.16x = 7,018.34 × 4,213.94
  4. Step 4: Simplify right side
    4,658.16x = 29,574,863.66
  5. Step 5: Solve for x
    x = 29,574,863.66/4,658.16
  6. Step 6: Final answer
    x = 6,349.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.