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Finding the Fourth Proportional to 8,462.40, 12,692.16 and 2,304.96

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Solution

The fourth proportional to 8,462.40, 12,692.16 and 2,304.96 is: 3,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.40 : 12,692.16 = 2,304.96 : x
  2. Step 2: Convert to fraction form
    8,462.40/12,692.16 = 2,304.96/x
  3. Step 3: Cross multiply
    8,462.40x = 12,692.16 × 2,304.96
  4. Step 4: Simplify right side
    8,462.40x = 29,254,921.11
  5. Step 5: Solve for x
    x = 29,254,921.11/8,462.40
  6. Step 6: Final answer
    x = 3,457.05

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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.