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Finding the Fourth Proportional to 6,496.21, 9,677.86 and 6,182.74

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Solution

The fourth proportional to 6,496.21, 9,677.86 and 6,182.74 is: 9,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.21 : 9,677.86 = 6,182.74 : x
  2. Step 2: Convert to fraction form
    6,496.21/9,677.86 = 6,182.74/x
  3. Step 3: Cross multiply
    6,496.21x = 9,677.86 × 6,182.74
  4. Step 4: Simplify right side
    6,496.21x = 59,835,692.14
  5. Step 5: Solve for x
    x = 59,835,692.14/6,496.21
  6. Step 6: Final answer
    x = 9,210.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.