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Finding the Fourth Proportional to 6,313.56, 9,473.48 and 4,643.57

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Solution

The fourth proportional to 6,313.56, 9,473.48 and 4,643.57 is: 6,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.56 : 9,473.48 = 4,643.57 : x
  2. Step 2: Convert to fraction form
    6,313.56/9,473.48 = 4,643.57/x
  3. Step 3: Cross multiply
    6,313.56x = 9,473.48 × 4,643.57
  4. Step 4: Simplify right side
    6,313.56x = 43,990,767.52
  5. Step 5: Solve for x
    x = 43,990,767.52/6,313.56
  6. Step 6: Final answer
    x = 6,967.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.