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Finding the Fourth Proportional to 6,298.92, 8,692.14 and 3,646.14

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Solution

The fourth proportional to 6,298.92, 8,692.14 and 3,646.14 is: 5,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.92 : 8,692.14 = 3,646.14 : x
  2. Step 2: Convert to fraction form
    6,298.92/8,692.14 = 3,646.14/x
  3. Step 3: Cross multiply
    6,298.92x = 8,692.14 × 3,646.14
  4. Step 4: Simplify right side
    6,298.92x = 31,692,759.34
  5. Step 5: Solve for x
    x = 31,692,759.34/6,298.92
  6. Step 6: Final answer
    x = 5,031.46

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Half scale
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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.