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Finding the Fourth Proportional to 4,658.38, 6,985.36 and 1,694.72

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Solution

The fourth proportional to 4,658.38, 6,985.36 and 1,694.72 is: 2,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.38 : 6,985.36 = 1,694.72 : x
  2. Step 2: Convert to fraction form
    4,658.38/6,985.36 = 1,694.72/x
  3. Step 3: Cross multiply
    4,658.38x = 6,985.36 × 1,694.72
  4. Step 4: Simplify right side
    4,658.38x = 11,838,239.35
  5. Step 5: Solve for x
    x = 11,838,239.35/4,658.38
  6. Step 6: Final answer
    x = 2,541.28

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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.