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Finding the Fourth Proportional to 9,957.81, 13,739.56 and 5,763.63

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Solution

The fourth proportional to 9,957.81, 13,739.56 and 5,763.63 is: 7,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.81 : 13,739.56 = 5,763.63 : x
  2. Step 2: Convert to fraction form
    9,957.81/13,739.56 = 5,763.63/x
  3. Step 3: Cross multiply
    9,957.81x = 13,739.56 × 5,763.63
  4. Step 4: Simplify right side
    9,957.81x = 79,189,740.20
  5. Step 5: Solve for x
    x = 79,189,740.20/9,957.81
  6. Step 6: Final answer
    x = 7,952.53

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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.