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Finding the Fourth Proportional to 11,570.51, 17,305.65 and 6,815.33

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Solution

The fourth proportional to 11,570.51, 17,305.65 and 6,815.33 is: 10,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.51 : 17,305.65 = 6,815.33 : x
  2. Step 2: Convert to fraction form
    11,570.51/17,305.65 = 6,815.33/x
  3. Step 3: Cross multiply
    11,570.51x = 17,305.65 × 6,815.33
  4. Step 4: Simplify right side
    11,570.51x = 117,943,813.17
  5. Step 5: Solve for x
    x = 117,943,813.17/11,570.51
  6. Step 6: Final answer
    x = 10,193.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.