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Finding the Fourth Proportional to 10,009.69, 13,813.22 and 6,033.00

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Solution

The fourth proportional to 10,009.69, 13,813.22 and 6,033.00 is: 8,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.69 : 13,813.22 = 6,033.00 : x
  2. Step 2: Convert to fraction form
    10,009.69/13,813.22 = 6,033.00/x
  3. Step 3: Cross multiply
    10,009.69x = 13,813.22 × 6,033.00
  4. Step 4: Simplify right side
    10,009.69x = 83,335,136.81
  5. Step 5: Solve for x
    x = 83,335,136.81/10,009.69
  6. Step 6: Final answer
    x = 8,325.44

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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.