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Finding the Fourth Proportional to 6,356.37, 8,764.16 and 5,470.65

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Solution

The fourth proportional to 6,356.37, 8,764.16 and 5,470.65 is: 7,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.37 : 8,764.16 = 5,470.65 : x
  2. Step 2: Convert to fraction form
    6,356.37/8,764.16 = 5,470.65/x
  3. Step 3: Cross multiply
    6,356.37x = 8,764.16 × 5,470.65
  4. Step 4: Simplify right side
    6,356.37x = 47,945,651.90
  5. Step 5: Solve for x
    x = 47,945,651.90/6,356.37
  6. Step 6: Final answer
    x = 7,542.93

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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.