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Finding the Fourth Proportional to 8,053.13, 11,109.53 and 5,696.57

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Solution

The fourth proportional to 8,053.13, 11,109.53 and 5,696.57 is: 7,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.13 : 11,109.53 = 5,696.57 : x
  2. Step 2: Convert to fraction form
    8,053.13/11,109.53 = 5,696.57/x
  3. Step 3: Cross multiply
    8,053.13x = 11,109.53 × 5,696.57
  4. Step 4: Simplify right side
    8,053.13x = 63,286,215.31
  5. Step 5: Solve for x
    x = 63,286,215.31/8,053.13
  6. Step 6: Final answer
    x = 7,858.59

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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.