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Finding the Fourth Proportional to 7,081.07, 9,762.84 and 4,427.51

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Solution

The fourth proportional to 7,081.07, 9,762.84 and 4,427.51 is: 6,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.07 : 9,762.84 = 4,427.51 : x
  2. Step 2: Convert to fraction form
    7,081.07/9,762.84 = 4,427.51/x
  3. Step 3: Cross multiply
    7,081.07x = 9,762.84 × 4,427.51
  4. Step 4: Simplify right side
    7,081.07x = 43,225,022.91
  5. Step 5: Solve for x
    x = 43,225,022.91/7,081.07
  6. Step 6: Final answer
    x = 6,104.31

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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.