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Finding the Fourth Proportional to 14,692.52, 20,275.70 and 7,978.14

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Solution

The fourth proportional to 14,692.52, 20,275.70 and 7,978.14 is: 11,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.52 : 20,275.70 = 7,978.14 : x
  2. Step 2: Convert to fraction form
    14,692.52/20,275.70 = 7,978.14/x
  3. Step 3: Cross multiply
    14,692.52x = 20,275.70 × 7,978.14
  4. Step 4: Simplify right side
    14,692.52x = 161,762,333.31
  5. Step 5: Solve for x
    x = 161,762,333.31/14,692.52
  6. Step 6: Final answer
    x = 11,009.85

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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.