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Finding the Fourth Proportional to 9,952.43, 13,739.64 and 7,709.27

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Solution

The fourth proportional to 9,952.43, 13,739.64 and 7,709.27 is: 10,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.43 : 13,739.64 = 7,709.27 : x
  2. Step 2: Convert to fraction form
    9,952.43/13,739.64 = 7,709.27/x
  3. Step 3: Cross multiply
    9,952.43x = 13,739.64 × 7,709.27
  4. Step 4: Simplify right side
    9,952.43x = 105,922,594.46
  5. Step 5: Solve for x
    x = 105,922,594.46/9,952.43
  6. Step 6: Final answer
    x = 10,642.89

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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.