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Finding the Fourth Proportional to 9,703.80, 14,537.07 and 5,531.49

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Solution

The fourth proportional to 9,703.80, 14,537.07 and 5,531.49 is: 8,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.80 : 14,537.07 = 5,531.49 : x
  2. Step 2: Convert to fraction form
    9,703.80/14,537.07 = 5,531.49/x
  3. Step 3: Cross multiply
    9,703.80x = 14,537.07 × 5,531.49
  4. Step 4: Simplify right side
    9,703.80x = 80,411,657.33
  5. Step 5: Solve for x
    x = 80,411,657.33/9,703.80
  6. Step 6: Final answer
    x = 8,286.62

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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.