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Finding the Fourth Proportional to 6,678.94, 10,015.05 and 2,295.10

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Solution

The fourth proportional to 6,678.94, 10,015.05 and 2,295.10 is: 3,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.94 : 10,015.05 = 2,295.10 : x
  2. Step 2: Convert to fraction form
    6,678.94/10,015.05 = 2,295.10/x
  3. Step 3: Cross multiply
    6,678.94x = 10,015.05 × 2,295.10
  4. Step 4: Simplify right side
    6,678.94x = 22,985,541.26
  5. Step 5: Solve for x
    x = 22,985,541.26/6,678.94
  6. Step 6: Final answer
    x = 3,441.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.