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Finding the Fourth Proportional to 12,822.49, 17,697.11 and 7,790.03

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Solution

The fourth proportional to 12,822.49, 17,697.11 and 7,790.03 is: 10,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.49 : 17,697.11 = 7,790.03 : x
  2. Step 2: Convert to fraction form
    12,822.49/17,697.11 = 7,790.03/x
  3. Step 3: Cross multiply
    12,822.49x = 17,697.11 × 7,790.03
  4. Step 4: Simplify right side
    12,822.49x = 137,861,017.81
  5. Step 5: Solve for x
    x = 137,861,017.81/12,822.49
  6. Step 6: Final answer
    x = 10,751.50

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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.