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Finding the Fourth Proportional to 9,492.12, 14,238.16 and 3,644.64

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Solution

The fourth proportional to 9,492.12, 14,238.16 and 3,644.64 is: 5,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.12 : 14,238.16 = 3,644.64 : x
  2. Step 2: Convert to fraction form
    9,492.12/14,238.16 = 3,644.64/x
  3. Step 3: Cross multiply
    9,492.12x = 14,238.16 × 3,644.64
  4. Step 4: Simplify right side
    9,492.12x = 51,892,967.46
  5. Step 5: Solve for x
    x = 51,892,967.46/9,492.12
  6. Step 6: Final answer
    x = 5,466.95

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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.