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Finding the Fourth Proportional to 6,692.68, 9,968.27 and 6,341.32

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Solution

The fourth proportional to 6,692.68, 9,968.27 and 6,341.32 is: 9,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.68 : 9,968.27 = 6,341.32 : x
  2. Step 2: Convert to fraction form
    6,692.68/9,968.27 = 6,341.32/x
  3. Step 3: Cross multiply
    6,692.68x = 9,968.27 × 6,341.32
  4. Step 4: Simplify right side
    6,692.68x = 63,211,989.92
  5. Step 5: Solve for x
    x = 63,211,989.92/6,692.68
  6. Step 6: Final answer
    x = 9,444.94

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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.