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Finding the Fourth Proportional to 14,693.34, 20,276.46 and 7,978.68

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Solution

The fourth proportional to 14,693.34, 20,276.46 and 7,978.68 is: 11,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.34 : 20,276.46 = 7,978.68 : x
  2. Step 2: Convert to fraction form
    14,693.34/20,276.46 = 7,978.68/x
  3. Step 3: Cross multiply
    14,693.34x = 20,276.46 × 7,978.68
  4. Step 4: Simplify right side
    14,693.34x = 161,779,385.87
  5. Step 5: Solve for x
    x = 161,779,385.87/14,693.34
  6. Step 6: Final answer
    x = 11,010.39

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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.