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Finding the Fourth Proportional to 6,696.31, 9,242.00 and 6,401.02

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Solution

The fourth proportional to 6,696.31, 9,242.00 and 6,401.02 is: 8,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.31 : 9,242.00 = 6,401.02 : x
  2. Step 2: Convert to fraction form
    6,696.31/9,242.00 = 6,401.02/x
  3. Step 3: Cross multiply
    6,696.31x = 9,242.00 × 6,401.02
  4. Step 4: Simplify right side
    6,696.31x = 59,158,194.83
  5. Step 5: Solve for x
    x = 59,158,194.83/6,696.31
  6. Step 6: Final answer
    x = 8,834.45

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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.