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Finding the Fourth Proportional to 9,993.69, 13,784.13 and 7,010.19

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Solution

The fourth proportional to 9,993.69, 13,784.13 and 7,010.19 is: 9,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.69 : 13,784.13 = 7,010.19 : x
  2. Step 2: Convert to fraction form
    9,993.69/13,784.13 = 7,010.19/x
  3. Step 3: Cross multiply
    9,993.69x = 13,784.13 × 7,010.19
  4. Step 4: Simplify right side
    9,993.69x = 96,629,370.28
  5. Step 5: Solve for x
    x = 96,629,370.28/9,993.69
  6. Step 6: Final answer
    x = 9,669.04

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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.