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Finding the Fourth Proportional to 6,466.14, 8,919 and 5,974.02

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Solution

The fourth proportional to 6,466.14, 8,919 and 5,974.02 is: 8,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.14 : 8,919 = 5,974.02 : x
  2. Step 2: Convert to fraction form
    6,466.14/8,919 = 5,974.02/x
  3. Step 3: Cross multiply
    6,466.14x = 8,919 × 5,974.02
  4. Step 4: Simplify right side
    6,466.14x = 53,282,284.38
  5. Step 5: Solve for x
    x = 53,282,284.38/6,466.14
  6. Step 6: Final answer
    x = 8,240.20

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Double scale
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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.