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Finding the Fourth Proportional to 5,537.40, 8,306.10 and 5,213.40

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Solution

The fourth proportional to 5,537.40, 8,306.10 and 5,213.40 is: 7,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.40 : 8,306.10 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    5,537.40/8,306.10 = 5,213.40/x
  3. Step 3: Cross multiply
    5,537.40x = 8,306.10 × 5,213.40
  4. Step 4: Simplify right side
    5,537.40x = 43,303,021.74
  5. Step 5: Solve for x
    x = 43,303,021.74/5,537.40
  6. Step 6: Final answer
    x = 7,820.10

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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.