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Finding the Fourth Proportional to 6,782.50, 9,364.22 and 4,657.35

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Solution

The fourth proportional to 6,782.50, 9,364.22 and 4,657.35 is: 6,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.50 : 9,364.22 = 4,657.35 : x
  2. Step 2: Convert to fraction form
    6,782.50/9,364.22 = 4,657.35/x
  3. Step 3: Cross multiply
    6,782.50x = 9,364.22 × 4,657.35
  4. Step 4: Simplify right side
    6,782.50x = 43,612,450.02
  5. Step 5: Solve for x
    x = 43,612,450.02/6,782.50
  6. Step 6: Final answer
    x = 6,430.14

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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.