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Finding the Fourth Proportional to 10,449.66, 14,420.31 and 5,973.66

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Solution

The fourth proportional to 10,449.66, 14,420.31 and 5,973.66 is: 8,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.66 : 14,420.31 = 5,973.66 : x
  2. Step 2: Convert to fraction form
    10,449.66/14,420.31 = 5,973.66/x
  3. Step 3: Cross multiply
    10,449.66x = 14,420.31 × 5,973.66
  4. Step 4: Simplify right side
    10,449.66x = 86,142,029.03
  5. Step 5: Solve for x
    x = 86,142,029.03/10,449.66
  6. Step 6: Final answer
    x = 8,243.52

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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.