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Finding the Fourth Proportional to 5,814.20, 8,017.62 and 4,553

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Solution

The fourth proportional to 5,814.20, 8,017.62 and 4,553 is: 6,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.20 : 8,017.62 = 4,553 : x
  2. Step 2: Convert to fraction form
    5,814.20/8,017.62 = 4,553/x
  3. Step 3: Cross multiply
    5,814.20x = 8,017.62 × 4,553
  4. Step 4: Simplify right side
    5,814.20x = 36,504,223.86
  5. Step 5: Solve for x
    x = 36,504,223.86/5,814.20
  6. Step 6: Final answer
    x = 6,278.46

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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.