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Finding the Fourth Proportional to 9,503.80, 14,231.09 and 8,445.87

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Solution

The fourth proportional to 9,503.80, 14,231.09 and 8,445.87 is: 12,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.80 : 14,231.09 = 8,445.87 : x
  2. Step 2: Convert to fraction form
    9,503.80/14,231.09 = 8,445.87/x
  3. Step 3: Cross multiply
    9,503.80x = 14,231.09 × 8,445.87
  4. Step 4: Simplify right side
    9,503.80x = 120,193,957.21
  5. Step 5: Solve for x
    x = 120,193,957.21/9,503.80
  6. Step 6: Final answer
    x = 12,646.94

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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.