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Finding the Fourth Proportional to 6,922.14, 9,549.03 and 4,683.20

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Solution

The fourth proportional to 6,922.14, 9,549.03 and 4,683.20 is: 6,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.14 : 9,549.03 = 4,683.20 : x
  2. Step 2: Convert to fraction form
    6,922.14/9,549.03 = 4,683.20/x
  3. Step 3: Cross multiply
    6,922.14x = 9,549.03 × 4,683.20
  4. Step 4: Simplify right side
    6,922.14x = 44,719,969.55
  5. Step 5: Solve for x
    x = 44,719,969.55/6,922.14
  6. Step 6: Final answer
    x = 6,460.43

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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.