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Finding the Fourth Proportional to 7,930.76, 10,941 and 5,574.44

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Solution

The fourth proportional to 7,930.76, 10,941 and 5,574.44 is: 7,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.76 : 10,941 = 5,574.44 : x
  2. Step 2: Convert to fraction form
    7,930.76/10,941 = 5,574.44/x
  3. Step 3: Cross multiply
    7,930.76x = 10,941 × 5,574.44
  4. Step 4: Simplify right side
    7,930.76x = 60,989,948.04
  5. Step 5: Solve for x
    x = 60,989,948.04/7,930.76
  6. Step 6: Final answer
    x = 7,690.30

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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.