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Finding the Fourth Proportional to 6,319.16, 9,478.74 and 5,843

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Solution

The fourth proportional to 6,319.16, 9,478.74 and 5,843 is: 8,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.16 : 9,478.74 = 5,843 : x
  2. Step 2: Convert to fraction form
    6,319.16/9,478.74 = 5,843/x
  3. Step 3: Cross multiply
    6,319.16x = 9,478.74 × 5,843
  4. Step 4: Simplify right side
    6,319.16x = 55,384,277.82
  5. Step 5: Solve for x
    x = 55,384,277.82/6,319.16
  6. Step 6: Final answer
    x = 8,764.50

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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.