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Finding the Fourth Proportional to 7,955, 10,977.60 and 4,418.44

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Solution

The fourth proportional to 7,955, 10,977.60 and 4,418.44 is: 6,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955 : 10,977.60 = 4,418.44 : x
  2. Step 2: Convert to fraction form
    7,955/10,977.60 = 4,418.44/x
  3. Step 3: Cross multiply
    7,955x = 10,977.60 × 4,418.44
  4. Step 4: Simplify right side
    7,955x = 48,503,866.94
  5. Step 5: Solve for x
    x = 48,503,866.94/7,955
  6. Step 6: Final answer
    x = 6,097.28

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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.