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Finding the Fourth Proportional to 10,007.66, 13,810.41 and 5,531.33

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Solution

The fourth proportional to 10,007.66, 13,810.41 and 5,531.33 is: 7,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.66 : 13,810.41 = 5,531.33 : x
  2. Step 2: Convert to fraction form
    10,007.66/13,810.41 = 5,531.33/x
  3. Step 3: Cross multiply
    10,007.66x = 13,810.41 × 5,531.33
  4. Step 4: Simplify right side
    10,007.66x = 76,389,866.09
  5. Step 5: Solve for x
    x = 76,389,866.09/10,007.66
  6. Step 6: Final answer
    x = 7,633.14

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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.