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Finding the Fourth Proportional to 7,978.42, 11,010.61 and 4,441.63

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Solution

The fourth proportional to 7,978.42, 11,010.61 and 4,441.63 is: 6,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.42 : 11,010.61 = 4,441.63 : x
  2. Step 2: Convert to fraction form
    7,978.42/11,010.61 = 4,441.63/x
  3. Step 3: Cross multiply
    7,978.42x = 11,010.61 × 4,441.63
  4. Step 4: Simplify right side
    7,978.42x = 48,905,033.49
  5. Step 5: Solve for x
    x = 48,905,033.49/7,978.42
  6. Step 6: Final answer
    x = 6,129.66

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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.