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Finding the Fourth Proportional to 9,496.40, 14,244.60 and 8,402.90

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Solution

The fourth proportional to 9,496.40, 14,244.60 and 8,402.90 is: 12,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.40 : 14,244.60 = 8,402.90 : x
  2. Step 2: Convert to fraction form
    9,496.40/14,244.60 = 8,402.90/x
  3. Step 3: Cross multiply
    9,496.40x = 14,244.60 × 8,402.90
  4. Step 4: Simplify right side
    9,496.40x = 119,695,949.34
  5. Step 5: Solve for x
    x = 119,695,949.34/9,496.40
  6. Step 6: Final answer
    x = 12,604.35

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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.