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Finding the Fourth Proportional to 7,097.56, 9,794.49 and 4,113.32

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Solution

The fourth proportional to 7,097.56, 9,794.49 and 4,113.32 is: 5,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.56 : 9,794.49 = 4,113.32 : x
  2. Step 2: Convert to fraction form
    7,097.56/9,794.49 = 4,113.32/x
  3. Step 3: Cross multiply
    7,097.56x = 9,794.49 × 4,113.32
  4. Step 4: Simplify right side
    7,097.56x = 40,287,807.21
  5. Step 5: Solve for x
    x = 40,287,807.21/7,097.56
  6. Step 6: Final answer
    x = 5,676.29

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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.