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Finding the Fourth Proportional to 5,692.90, 7,851.08 and 4,856.62

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Solution

The fourth proportional to 5,692.90, 7,851.08 and 4,856.62 is: 6,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.90 : 7,851.08 = 4,856.62 : x
  2. Step 2: Convert to fraction form
    5,692.90/7,851.08 = 4,856.62/x
  3. Step 3: Cross multiply
    5,692.90x = 7,851.08 × 4,856.62
  4. Step 4: Simplify right side
    5,692.90x = 38,129,712.15
  5. Step 5: Solve for x
    x = 38,129,712.15/5,692.90
  6. Step 6: Final answer
    x = 6,697.77

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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.