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Finding the Fourth Proportional to 7,083.54, 9,770.85 and 5,090.94

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Solution

The fourth proportional to 7,083.54, 9,770.85 and 5,090.94 is: 7,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.54 : 9,770.85 = 5,090.94 : x
  2. Step 2: Convert to fraction form
    7,083.54/9,770.85 = 5,090.94/x
  3. Step 3: Cross multiply
    7,083.54x = 9,770.85 × 5,090.94
  4. Step 4: Simplify right side
    7,083.54x = 49,742,811.10
  5. Step 5: Solve for x
    x = 49,742,811.10/7,083.54
  6. Step 6: Final answer
    x = 7,022.31

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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.