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Finding the Fourth Proportional to 8,509.46, 11,745.20 and 5,677.70

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Solution

The fourth proportional to 8,509.46, 11,745.20 and 5,677.70 is: 7,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.46 : 11,745.20 = 5,677.70 : x
  2. Step 2: Convert to fraction form
    8,509.46/11,745.20 = 5,677.70/x
  3. Step 3: Cross multiply
    8,509.46x = 11,745.20 × 5,677.70
  4. Step 4: Simplify right side
    8,509.46x = 66,685,677.51
  5. Step 5: Solve for x
    x = 66,685,677.51/8,509.46
  6. Step 6: Final answer
    x = 7,836.66

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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.