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Finding the Fourth Proportional to 6,521.40, 9,782.10 and 3,605.40

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Solution

The fourth proportional to 6,521.40, 9,782.10 and 3,605.40 is: 5,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.40 : 9,782.10 = 3,605.40 : x
  2. Step 2: Convert to fraction form
    6,521.40/9,782.10 = 3,605.40/x
  3. Step 3: Cross multiply
    6,521.40x = 9,782.10 × 3,605.40
  4. Step 4: Simplify right side
    6,521.40x = 35,268,383.34
  5. Step 5: Solve for x
    x = 35,268,383.34/6,521.40
  6. Step 6: Final answer
    x = 5,408.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.