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Finding the Fourth Proportional to 9,703.80, 14,523.30 and 8,537.40

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Solution

The fourth proportional to 9,703.80, 14,523.30 and 8,537.40 is: 12,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.80 : 14,523.30 = 8,537.40 : x
  2. Step 2: Convert to fraction form
    9,703.80/14,523.30 = 8,537.40/x
  3. Step 3: Cross multiply
    9,703.80x = 14,523.30 × 8,537.40
  4. Step 4: Simplify right side
    9,703.80x = 123,991,221.42
  5. Step 5: Solve for x
    x = 123,991,221.42/9,703.80
  6. Step 6: Final answer
    x = 12,777.59

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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.