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Finding the Fourth Proportional to 6,880.14, 9,496.14 and 4,365.72

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Solution

The fourth proportional to 6,880.14, 9,496.14 and 4,365.72 is: 6,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.14 : 9,496.14 = 4,365.72 : x
  2. Step 2: Convert to fraction form
    6,880.14/9,496.14 = 4,365.72/x
  3. Step 3: Cross multiply
    6,880.14x = 9,496.14 × 4,365.72
  4. Step 4: Simplify right side
    6,880.14x = 41,457,488.32
  5. Step 5: Solve for x
    x = 41,457,488.32/6,880.14
  6. Step 6: Final answer
    x = 6,025.68

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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.