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Finding the Fourth Proportional to 6,489.21, 8,944.59 and 5,070.42

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Solution

The fourth proportional to 6,489.21, 8,944.59 and 5,070.42 is: 6,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.21 : 8,944.59 = 5,070.42 : x
  2. Step 2: Convert to fraction form
    6,489.21/8,944.59 = 5,070.42/x
  3. Step 3: Cross multiply
    6,489.21x = 8,944.59 × 5,070.42
  4. Step 4: Simplify right side
    6,489.21x = 45,352,828.03
  5. Step 5: Solve for x
    x = 45,352,828.03/6,489.21
  6. Step 6: Final answer
    x = 6,988.96

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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.