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Finding the Fourth Proportional to 10,006.68, 13,807.08 and 5,812.68

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Solution

The fourth proportional to 10,006.68, 13,807.08 and 5,812.68 is: 8,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.68 : 13,807.08 = 5,812.68 : x
  2. Step 2: Convert to fraction form
    10,006.68/13,807.08 = 5,812.68/x
  3. Step 3: Cross multiply
    10,006.68x = 13,807.08 × 5,812.68
  4. Step 4: Simplify right side
    10,006.68x = 80,256,137.77
  5. Step 5: Solve for x
    x = 80,256,137.77/10,006.68
  6. Step 6: Final answer
    x = 8,020.26

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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.