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Finding the Fourth Proportional to 7,570.76, 10,442.46 and 6,943.37

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Solution

The fourth proportional to 7,570.76, 10,442.46 and 6,943.37 is: 9,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.76 : 10,442.46 = 6,943.37 : x
  2. Step 2: Convert to fraction form
    7,570.76/10,442.46 = 6,943.37/x
  3. Step 3: Cross multiply
    7,570.76x = 10,442.46 × 6,943.37
  4. Step 4: Simplify right side
    7,570.76x = 72,505,811.28
  5. Step 5: Solve for x
    x = 72,505,811.28/7,570.76
  6. Step 6: Final answer
    x = 9,577.09

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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.