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Finding the Fourth Proportional to 5,978.76, 8,968.14 and 1,596.24

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Solution

The fourth proportional to 5,978.76, 8,968.14 and 1,596.24 is: 2,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.76 : 8,968.14 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    5,978.76/8,968.14 = 1,596.24/x
  3. Step 3: Cross multiply
    5,978.76x = 8,968.14 × 1,596.24
  4. Step 4: Simplify right side
    5,978.76x = 14,315,303.79
  5. Step 5: Solve for x
    x = 14,315,303.79/5,978.76
  6. Step 6: Final answer
    x = 2,394.36

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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.