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Finding the Fourth Proportional to 6,782.46, 9,366.21 and 4,430.22

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Solution

The fourth proportional to 6,782.46, 9,366.21 and 4,430.22 is: 6,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.46 : 9,366.21 = 4,430.22 : x
  2. Step 2: Convert to fraction form
    6,782.46/9,366.21 = 4,430.22/x
  3. Step 3: Cross multiply
    6,782.46x = 9,366.21 × 4,430.22
  4. Step 4: Simplify right side
    6,782.46x = 41,494,370.87
  5. Step 5: Solve for x
    x = 41,494,370.87/6,782.46
  6. Step 6: Final answer
    x = 6,117.89

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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.