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Finding the Fourth Proportional to 9,663.40, 14,512.70 and 8,453.80

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Solution

The fourth proportional to 9,663.40, 14,512.70 and 8,453.80 is: 12,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.40 : 14,512.70 = 8,453.80 : x
  2. Step 2: Convert to fraction form
    9,663.40/14,512.70 = 8,453.80/x
  3. Step 3: Cross multiply
    9,663.40x = 14,512.70 × 8,453.80
  4. Step 4: Simplify right side
    9,663.40x = 122,687,463.26
  5. Step 5: Solve for x
    x = 122,687,463.26/9,663.40
  6. Step 6: Final answer
    x = 12,696.10

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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.