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Finding the Fourth Proportional to 9,751.86, 14,605.92 and 9,423.81

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Solution

The fourth proportional to 9,751.86, 14,605.92 and 9,423.81 is: 14,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.86 : 14,605.92 = 9,423.81 : x
  2. Step 2: Convert to fraction form
    9,751.86/14,605.92 = 9,423.81/x
  3. Step 3: Cross multiply
    9,751.86x = 14,605.92 × 9,423.81
  4. Step 4: Simplify right side
    9,751.86x = 137,643,414.96
  5. Step 5: Solve for x
    x = 137,643,414.96/9,751.86
  6. Step 6: Final answer
    x = 14,114.58

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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.