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Finding the Fourth Proportional to 9,478.94, 13,082.28 and 6,835.10

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Solution

The fourth proportional to 9,478.94, 13,082.28 and 6,835.10 is: 9,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.94 : 13,082.28 = 6,835.10 : x
  2. Step 2: Convert to fraction form
    9,478.94/13,082.28 = 6,835.10/x
  3. Step 3: Cross multiply
    9,478.94x = 13,082.28 × 6,835.10
  4. Step 4: Simplify right side
    9,478.94x = 89,418,692.03
  5. Step 5: Solve for x
    x = 89,418,692.03/9,478.94
  6. Step 6: Final answer
    x = 9,433.41

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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.