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Finding the Fourth Proportional to 4,692.30, 6,346.13 and 4,692.30

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Solution

The fourth proportional to 4,692.30, 6,346.13 and 4,692.30 is: 6,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.30 : 6,346.13 = 4,692.30 : x
  2. Step 2: Convert to fraction form
    4,692.30/6,346.13 = 4,692.30/x
  3. Step 3: Cross multiply
    4,692.30x = 6,346.13 × 4,692.30
  4. Step 4: Simplify right side
    4,692.30x = 29,777,922.34
  5. Step 5: Solve for x
    x = 29,777,922.34/4,692.30
  6. Step 6: Final answer
    x = 6,346.13

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.