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Finding the Fourth Proportional to 10,430.57, 14,393.22 and 5,954.29

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Solution

The fourth proportional to 10,430.57, 14,393.22 and 5,954.29 is: 8,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.57 : 14,393.22 = 5,954.29 : x
  2. Step 2: Convert to fraction form
    10,430.57/14,393.22 = 5,954.29/x
  3. Step 3: Cross multiply
    10,430.57x = 14,393.22 × 5,954.29
  4. Step 4: Simplify right side
    10,430.57x = 85,701,405.91
  5. Step 5: Solve for x
    x = 85,701,405.91/10,430.57
  6. Step 6: Final answer
    x = 8,216.37

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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.