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Finding the Fourth Proportional to 5,978.07, 8,953.17 and 5,770.44

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Solution

The fourth proportional to 5,978.07, 8,953.17 and 5,770.44 is: 8,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.07 : 8,953.17 = 5,770.44 : x
  2. Step 2: Convert to fraction form
    5,978.07/8,953.17 = 5,770.44/x
  3. Step 3: Cross multiply
    5,978.07x = 8,953.17 × 5,770.44
  4. Step 4: Simplify right side
    5,978.07x = 51,663,730.29
  5. Step 5: Solve for x
    x = 51,663,730.29/5,978.07
  6. Step 6: Final answer
    x = 8,642.21

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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.