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Finding the Fourth Proportional to 16,072.60, 24,108.90 and 9,506.20

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Solution

The fourth proportional to 16,072.60, 24,108.90 and 9,506.20 is: 14,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.60 : 24,108.90 = 9,506.20 : x
  2. Step 2: Convert to fraction form
    16,072.60/24,108.90 = 9,506.20/x
  3. Step 3: Cross multiply
    16,072.60x = 24,108.90 × 9,506.20
  4. Step 4: Simplify right side
    16,072.60x = 229,184,025.18
  5. Step 5: Solve for x
    x = 229,184,025.18/16,072.60
  6. Step 6: Final answer
    x = 14,259.30

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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.