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Finding the Fourth Proportional to 4,696.38, 6,466.23 and 3,815.10

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Solution

The fourth proportional to 4,696.38, 6,466.23 and 3,815.10 is: 5,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.38 : 6,466.23 = 3,815.10 : x
  2. Step 2: Convert to fraction form
    4,696.38/6,466.23 = 3,815.10/x
  3. Step 3: Cross multiply
    4,696.38x = 6,466.23 × 3,815.10
  4. Step 4: Simplify right side
    4,696.38x = 24,669,314.07
  5. Step 5: Solve for x
    x = 24,669,314.07/4,696.38
  6. Step 6: Final answer
    x = 5,252.84

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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.