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Finding the Fourth Proportional to 10,016.51, 13,826.07 and 7,033.09

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Solution

The fourth proportional to 10,016.51, 13,826.07 and 7,033.09 is: 9,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.51 : 13,826.07 = 7,033.09 : x
  2. Step 2: Convert to fraction form
    10,016.51/13,826.07 = 7,033.09/x
  3. Step 3: Cross multiply
    10,016.51x = 13,826.07 × 7,033.09
  4. Step 4: Simplify right side
    10,016.51x = 97,239,994.66
  5. Step 5: Solve for x
    x = 97,239,994.66/10,016.51
  6. Step 6: Final answer
    x = 9,707.97

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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.