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Finding the Fourth Proportional to 9,763.13, 13,472.53 and 5,986.31

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Solution

The fourth proportional to 9,763.13, 13,472.53 and 5,986.31 is: 8,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.13 : 13,472.53 = 5,986.31 : x
  2. Step 2: Convert to fraction form
    9,763.13/13,472.53 = 5,986.31/x
  3. Step 3: Cross multiply
    9,763.13x = 13,472.53 × 5,986.31
  4. Step 4: Simplify right side
    9,763.13x = 80,650,658.74
  5. Step 5: Solve for x
    x = 80,650,658.74/9,763.13
  6. Step 6: Final answer
    x = 8,260.74

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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.