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Finding the Fourth Proportional to 10,006, 13,809.09 and 5,815.06

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Solution

The fourth proportional to 10,006, 13,809.09 and 5,815.06 is: 8,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006 : 13,809.09 = 5,815.06 : x
  2. Step 2: Convert to fraction form
    10,006/13,809.09 = 5,815.06/x
  3. Step 3: Cross multiply
    10,006x = 13,809.09 × 5,815.06
  4. Step 4: Simplify right side
    10,006x = 80,300,686.90
  5. Step 5: Solve for x
    x = 80,300,686.90/10,006
  6. Step 6: Final answer
    x = 8,025.25

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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.