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Finding the Fourth Proportional to 9,420.98, 14,123.10 and 8,043.17

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Solution

The fourth proportional to 9,420.98, 14,123.10 and 8,043.17 is: 12,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.98 : 14,123.10 = 8,043.17 : x
  2. Step 2: Convert to fraction form
    9,420.98/14,123.10 = 8,043.17/x
  3. Step 3: Cross multiply
    9,420.98x = 14,123.10 × 8,043.17
  4. Step 4: Simplify right side
    9,420.98x = 113,594,494.23
  5. Step 5: Solve for x
    x = 113,594,494.23/9,420.98
  6. Step 6: Final answer
    x = 12,057.61

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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.