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Finding the Fourth Proportional to 6,806.01, 9,385.38 and 6,409.15

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Solution

The fourth proportional to 6,806.01, 9,385.38 and 6,409.15 is: 8,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.01 : 9,385.38 = 6,409.15 : x
  2. Step 2: Convert to fraction form
    6,806.01/9,385.38 = 6,409.15/x
  3. Step 3: Cross multiply
    6,806.01x = 9,385.38 × 6,409.15
  4. Step 4: Simplify right side
    6,806.01x = 60,152,308.23
  5. Step 5: Solve for x
    x = 60,152,308.23/6,806.01
  6. Step 6: Final answer
    x = 8,838.12

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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.