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Finding the Fourth Proportional to 7,692.54, 11,541.51 and 2,498.40

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Solution

The fourth proportional to 7,692.54, 11,541.51 and 2,498.40 is: 3,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.54 : 11,541.51 = 2,498.40 : x
  2. Step 2: Convert to fraction form
    7,692.54/11,541.51 = 2,498.40/x
  3. Step 3: Cross multiply
    7,692.54x = 11,541.51 × 2,498.40
  4. Step 4: Simplify right side
    7,692.54x = 28,835,308.58
  5. Step 5: Solve for x
    x = 28,835,308.58/7,692.54
  6. Step 6: Final answer
    x = 3,748.48

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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.