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Finding the Fourth Proportional to 9,497.75, 14,246.46 and 3,655.62

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Solution

The fourth proportional to 9,497.75, 14,246.46 and 3,655.62 is: 5,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.75 : 14,246.46 = 3,655.62 : x
  2. Step 2: Convert to fraction form
    9,497.75/14,246.46 = 3,655.62/x
  3. Step 3: Cross multiply
    9,497.75x = 14,246.46 × 3,655.62
  4. Step 4: Simplify right side
    9,497.75x = 52,079,644.11
  5. Step 5: Solve for x
    x = 52,079,644.11/9,497.75
  6. Step 6: Final answer
    x = 5,483.37

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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.