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Finding the Fourth Proportional to 16,374.10, 22,596.25 and 8,922.10

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Solution

The fourth proportional to 16,374.10, 22,596.25 and 8,922.10 is: 12,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.10 : 22,596.25 = 8,922.10 : x
  2. Step 2: Convert to fraction form
    16,374.10/22,596.25 = 8,922.10/x
  3. Step 3: Cross multiply
    16,374.10x = 22,596.25 × 8,922.10
  4. Step 4: Simplify right side
    16,374.10x = 201,606,002.13
  5. Step 5: Solve for x
    x = 201,606,002.13/16,374.10
  6. Step 6: Final answer
    x = 12,312.49

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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.