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Finding the Fourth Proportional to 12,822.57, 17,696.00 and 9,047.03

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Solution

The fourth proportional to 12,822.57, 17,696.00 and 9,047.03 is: 12,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.57 : 17,696.00 = 9,047.03 : x
  2. Step 2: Convert to fraction form
    12,822.57/17,696.00 = 9,047.03/x
  3. Step 3: Cross multiply
    12,822.57x = 17,696.00 × 9,047.03
  4. Step 4: Simplify right side
    12,822.57x = 160,096,177.02
  5. Step 5: Solve for x
    x = 160,096,177.02/12,822.57
  6. Step 6: Final answer
    x = 12,485.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.