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Finding the Fourth Proportional to 9,497.66, 14,245.16 and 3,257.57

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Solution

The fourth proportional to 9,497.66, 14,245.16 and 3,257.57 is: 4,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.66 : 14,245.16 = 3,257.57 : x
  2. Step 2: Convert to fraction form
    9,497.66/14,245.16 = 3,257.57/x
  3. Step 3: Cross multiply
    9,497.66x = 14,245.16 × 3,257.57
  4. Step 4: Simplify right side
    9,497.66x = 46,404,518.35
  5. Step 5: Solve for x
    x = 46,404,518.35/9,497.66
  6. Step 6: Final answer
    x = 4,885.89

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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.