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Finding the Fourth Proportional to 9,497.40, 14,246.10 and 8,201.40

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Solution

The fourth proportional to 9,497.40, 14,246.10 and 8,201.40 is: 12,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.40 : 14,246.10 = 8,201.40 : x
  2. Step 2: Convert to fraction form
    9,497.40/14,246.10 = 8,201.40/x
  3. Step 3: Cross multiply
    9,497.40x = 14,246.10 × 8,201.40
  4. Step 4: Simplify right side
    9,497.40x = 116,837,964.54
  5. Step 5: Solve for x
    x = 116,837,964.54/9,497.40
  6. Step 6: Final answer
    x = 12,302.10

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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.