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Finding the Fourth Proportional to 10,006.72, 13,805.64 and 6,029.08

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Solution

The fourth proportional to 10,006.72, 13,805.64 and 6,029.08 is: 8,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.72 : 13,805.64 = 6,029.08 : x
  2. Step 2: Convert to fraction form
    10,006.72/13,805.64 = 6,029.08/x
  3. Step 3: Cross multiply
    10,006.72x = 13,805.64 × 6,029.08
  4. Step 4: Simplify right side
    10,006.72x = 83,235,308.01
  5. Step 5: Solve for x
    x = 83,235,308.01/10,006.72
  6. Step 6: Final answer
    x = 8,317.94

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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.