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Finding the Fourth Proportional to 9,699.13, 13,386.42 and 5,721.22

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Solution

The fourth proportional to 9,699.13, 13,386.42 and 5,721.22 is: 7,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.13 : 13,386.42 = 5,721.22 : x
  2. Step 2: Convert to fraction form
    9,699.13/13,386.42 = 5,721.22/x
  3. Step 3: Cross multiply
    9,699.13x = 13,386.42 × 5,721.22
  4. Step 4: Simplify right side
    9,699.13x = 76,586,558.29
  5. Step 5: Solve for x
    x = 76,586,558.29/9,699.13
  6. Step 6: Final answer
    x = 7,896.23

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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.