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Finding the Fourth Proportional to 6,022.32, 8,295.93 and 5,235

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Solution

The fourth proportional to 6,022.32, 8,295.93 and 5,235 is: 7,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.32 : 8,295.93 = 5,235 : x
  2. Step 2: Convert to fraction form
    6,022.32/8,295.93 = 5,235/x
  3. Step 3: Cross multiply
    6,022.32x = 8,295.93 × 5,235
  4. Step 4: Simplify right side
    6,022.32x = 43,429,193.55
  5. Step 5: Solve for x
    x = 43,429,193.55/6,022.32
  6. Step 6: Final answer
    x = 7,211.37

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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.