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Finding the Fourth Proportional to 14,692.67, 20,275.82 and 7,978.24

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Solution

The fourth proportional to 14,692.67, 20,275.82 and 7,978.24 is: 11,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.67 : 20,275.82 = 7,978.24 : x
  2. Step 2: Convert to fraction form
    14,692.67/20,275.82 = 7,978.24/x
  3. Step 3: Cross multiply
    14,692.67x = 20,275.82 × 7,978.24
  4. Step 4: Simplify right side
    14,692.67x = 161,765,373.53
  5. Step 5: Solve for x
    x = 161,765,373.53/14,692.67
  6. Step 6: Final answer
    x = 11,009.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.