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Finding the Fourth Proportional to 14,692.59, 20,275.97 and 7,978.23

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Solution

The fourth proportional to 14,692.59, 20,275.97 and 7,978.23 is: 11,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.59 : 20,275.97 = 7,978.23 : x
  2. Step 2: Convert to fraction form
    14,692.59/20,275.97 = 7,978.23/x
  3. Step 3: Cross multiply
    14,692.59x = 20,275.97 × 7,978.23
  4. Step 4: Simplify right side
    14,692.59x = 161,766,312.24
  5. Step 5: Solve for x
    x = 161,766,312.24/14,692.59
  6. Step 6: Final answer
    x = 11,010.06

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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.