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Finding the Fourth Proportional to 6,865.40, 10,273.80 and 4,775.60

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Solution

The fourth proportional to 6,865.40, 10,273.80 and 4,775.60 is: 7,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.40 : 10,273.80 = 4,775.60 : x
  2. Step 2: Convert to fraction form
    6,865.40/10,273.80 = 4,775.60/x
  3. Step 3: Cross multiply
    6,865.40x = 10,273.80 × 4,775.60
  4. Step 4: Simplify right side
    6,865.40x = 49,063,559.28
  5. Step 5: Solve for x
    x = 49,063,559.28/6,865.40
  6. Step 6: Final answer
    x = 7,146.50

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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.