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Finding the Fourth Proportional to 22,692.60, 34,038.96 and 6,897.78

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Solution

The fourth proportional to 22,692.60, 34,038.96 and 6,897.78 is: 10,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.60 : 34,038.96 = 6,897.78 : x
  2. Step 2: Convert to fraction form
    22,692.60/34,038.96 = 6,897.78/x
  3. Step 3: Cross multiply
    22,692.60x = 34,038.96 × 6,897.78
  4. Step 4: Simplify right side
    22,692.60x = 234,793,257.51
  5. Step 5: Solve for x
    x = 234,793,257.51/22,692.60
  6. Step 6: Final answer
    x = 10,346.69

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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.