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Finding the Fourth Proportional to 6,097.98, 8,409.06 and 4,975.32

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Solution

The fourth proportional to 6,097.98, 8,409.06 and 4,975.32 is: 6,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.98 : 8,409.06 = 4,975.32 : x
  2. Step 2: Convert to fraction form
    6,097.98/8,409.06 = 4,975.32/x
  3. Step 3: Cross multiply
    6,097.98x = 8,409.06 × 4,975.32
  4. Step 4: Simplify right side
    6,097.98x = 41,837,764.40
  5. Step 5: Solve for x
    x = 41,837,764.40/6,097.98
  6. Step 6: Final answer
    x = 6,860.92

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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.