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Finding the Fourth Proportional to 4,461.52, 6,692.31 and 1,827.17

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Solution

The fourth proportional to 4,461.52, 6,692.31 and 1,827.17 is: 2,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.52 : 6,692.31 = 1,827.17 : x
  2. Step 2: Convert to fraction form
    4,461.52/6,692.31 = 1,827.17/x
  3. Step 3: Cross multiply
    4,461.52x = 6,692.31 × 1,827.17
  4. Step 4: Simplify right side
    4,461.52x = 12,227,980.76
  5. Step 5: Solve for x
    x = 12,227,980.76/4,461.52
  6. Step 6: Final answer
    x = 2,740.76

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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.