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Finding the Fourth Proportional to 13,985.90, 20,978.85 and 8,456.30

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Solution

The fourth proportional to 13,985.90, 20,978.85 and 8,456.30 is: 12,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.90 : 20,978.85 = 8,456.30 : x
  2. Step 2: Convert to fraction form
    13,985.90/20,978.85 = 8,456.30/x
  3. Step 3: Cross multiply
    13,985.90x = 20,978.85 × 8,456.30
  4. Step 4: Simplify right side
    13,985.90x = 177,403,449.26
  5. Step 5: Solve for x
    x = 177,403,449.26/13,985.90
  6. Step 6: Final answer
    x = 12,684.45

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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.