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Finding the Fourth Proportional to 11,900.04, 16,422.48 and 6,865.98

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Solution

The fourth proportional to 11,900.04, 16,422.48 and 6,865.98 is: 9,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.04 : 16,422.48 = 6,865.98 : x
  2. Step 2: Convert to fraction form
    11,900.04/16,422.48 = 6,865.98/x
  3. Step 3: Cross multiply
    11,900.04x = 16,422.48 × 6,865.98
  4. Step 4: Simplify right side
    11,900.04x = 112,756,419.23
  5. Step 5: Solve for x
    x = 112,756,419.23/11,900.04
  6. Step 6: Final answer
    x = 9,475.30

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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.