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Finding the Fourth Proportional to 8,535.53, 11,770.05 and 6,740.03

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Solution

The fourth proportional to 8,535.53, 11,770.05 and 6,740.03 is: 9,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.53 : 11,770.05 = 6,740.03 : x
  2. Step 2: Convert to fraction form
    8,535.53/11,770.05 = 6,740.03/x
  3. Step 3: Cross multiply
    8,535.53x = 11,770.05 × 6,740.03
  4. Step 4: Simplify right side
    8,535.53x = 79,330,431.25
  5. Step 5: Solve for x
    x = 79,330,431.25/8,535.53
  6. Step 6: Final answer
    x = 9,294.15

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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.