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Finding the Fourth Proportional to 5,846.10, 8,770.98 and 4,461

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Solution

The fourth proportional to 5,846.10, 8,770.98 and 4,461 is: 6,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.10 : 8,770.98 = 4,461 : x
  2. Step 2: Convert to fraction form
    5,846.10/8,770.98 = 4,461/x
  3. Step 3: Cross multiply
    5,846.10x = 8,770.98 × 4,461
  4. Step 4: Simplify right side
    5,846.10x = 39,127,341.78
  5. Step 5: Solve for x
    x = 39,127,341.78/5,846.10
  6. Step 6: Final answer
    x = 6,692.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.