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Finding the Fourth Proportional to 9,770.04, 13,487.04 and 6,237.96

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Solution

The fourth proportional to 9,770.04, 13,487.04 and 6,237.96 is: 8,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.04 : 13,487.04 = 6,237.96 : x
  2. Step 2: Convert to fraction form
    9,770.04/13,487.04 = 6,237.96/x
  3. Step 3: Cross multiply
    9,770.04x = 13,487.04 × 6,237.96
  4. Step 4: Simplify right side
    9,770.04x = 84,131,616.04
  5. Step 5: Solve for x
    x = 84,131,616.04/9,770.04
  6. Step 6: Final answer
    x = 8,611.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.