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Finding the Fourth Proportional to 16,430.56, 22,674 and 8,978.56

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Solution

The fourth proportional to 16,430.56, 22,674 and 8,978.56 is: 12,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.56 : 22,674 = 8,978.56 : x
  2. Step 2: Convert to fraction form
    16,430.56/22,674 = 8,978.56/x
  3. Step 3: Cross multiply
    16,430.56x = 22,674 × 8,978.56
  4. Step 4: Simplify right side
    16,430.56x = 203,579,869.44
  5. Step 5: Solve for x
    x = 203,579,869.44/16,430.56
  6. Step 6: Final answer
    x = 12,390.32

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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.