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Finding the Fourth Proportional to 8,970.49, 13,451.13 and 4,035.91

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Solution

The fourth proportional to 8,970.49, 13,451.13 and 4,035.91 is: 6,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.49 : 13,451.13 = 4,035.91 : x
  2. Step 2: Convert to fraction form
    8,970.49/13,451.13 = 4,035.91/x
  3. Step 3: Cross multiply
    8,970.49x = 13,451.13 × 4,035.91
  4. Step 4: Simplify right side
    8,970.49x = 54,287,550.08
  5. Step 5: Solve for x
    x = 54,287,550.08/8,970.49
  6. Step 6: Final answer
    x = 6,051.79

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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.