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Finding the Fourth Proportional to 9,594.82, 13,239.95 and 7,078.33

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Solution

The fourth proportional to 9,594.82, 13,239.95 and 7,078.33 is: 9,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.82 : 13,239.95 = 7,078.33 : x
  2. Step 2: Convert to fraction form
    9,594.82/13,239.95 = 7,078.33/x
  3. Step 3: Cross multiply
    9,594.82x = 13,239.95 × 7,078.33
  4. Step 4: Simplify right side
    9,594.82x = 93,716,735.28
  5. Step 5: Solve for x
    x = 93,716,735.28/9,594.82
  6. Step 6: Final answer
    x = 9,767.43

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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.