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Finding the Fourth Proportional to 13,010.09, 17,954 and 7,345.07

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Solution

The fourth proportional to 13,010.09, 17,954 and 7,345.07 is: 10,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.09 : 17,954 = 7,345.07 : x
  2. Step 2: Convert to fraction form
    13,010.09/17,954 = 7,345.07/x
  3. Step 3: Cross multiply
    13,010.09x = 17,954 × 7,345.07
  4. Step 4: Simplify right side
    13,010.09x = 131,873,386.78
  5. Step 5: Solve for x
    x = 131,873,386.78/13,010.09
  6. Step 6: Final answer
    x = 10,136.24

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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.