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Finding the Fourth Proportional to 11,642.96, 17,429.88 and 7,011.92

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Solution

The fourth proportional to 11,642.96, 17,429.88 and 7,011.92 is: 10,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.96 : 17,429.88 = 7,011.92 : x
  2. Step 2: Convert to fraction form
    11,642.96/17,429.88 = 7,011.92/x
  3. Step 3: Cross multiply
    11,642.96x = 17,429.88 × 7,011.92
  4. Step 4: Simplify right side
    11,642.96x = 122,216,924.17
  5. Step 5: Solve for x
    x = 122,216,924.17/11,642.96
  6. Step 6: Final answer
    x = 10,497.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.