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Finding the Fourth Proportional to 8,655.84, 11,944.08 and 5,299.44

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Solution

The fourth proportional to 8,655.84, 11,944.08 and 5,299.44 is: 7,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.84 : 11,944.08 = 5,299.44 : x
  2. Step 2: Convert to fraction form
    8,655.84/11,944.08 = 5,299.44/x
  3. Step 3: Cross multiply
    8,655.84x = 11,944.08 × 5,299.44
  4. Step 4: Simplify right side
    8,655.84x = 63,296,935.32
  5. Step 5: Solve for x
    x = 63,296,935.32/8,655.84
  6. Step 6: Final answer
    x = 7,312.63

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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.