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Finding the Fourth Proportional to 9,605.64, 14,406.30 and 2,680.20

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Solution

The fourth proportional to 9,605.64, 14,406.30 and 2,680.20 is: 4,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.64 : 14,406.30 = 2,680.20 : x
  2. Step 2: Convert to fraction form
    9,605.64/14,406.30 = 2,680.20/x
  3. Step 3: Cross multiply
    9,605.64x = 14,406.30 × 2,680.20
  4. Step 4: Simplify right side
    9,605.64x = 38,611,765.26
  5. Step 5: Solve for x
    x = 38,611,765.26/9,605.64
  6. Step 6: Final answer
    x = 4,019.70

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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.