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Finding the Fourth Proportional to 7,000.10, 10,490.83 and 2,613.14

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Solution

The fourth proportional to 7,000.10, 10,490.83 and 2,613.14 is: 3,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.10 : 10,490.83 = 2,613.14 : x
  2. Step 2: Convert to fraction form
    7,000.10/10,490.83 = 2,613.14/x
  3. Step 3: Cross multiply
    7,000.10x = 10,490.83 × 2,613.14
  4. Step 4: Simplify right side
    7,000.10x = 27,414,007.51
  5. Step 5: Solve for x
    x = 27,414,007.51/7,000.10
  6. Step 6: Final answer
    x = 3,916.23

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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.