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Finding the Fourth Proportional to 11,357.82, 15,678.63 and 7,633.98

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Solution

The fourth proportional to 11,357.82, 15,678.63 and 7,633.98 is: 10,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.82 : 15,678.63 = 7,633.98 : x
  2. Step 2: Convert to fraction form
    11,357.82/15,678.63 = 7,633.98/x
  3. Step 3: Cross multiply
    11,357.82x = 15,678.63 × 7,633.98
  4. Step 4: Simplify right side
    11,357.82x = 119,690,347.85
  5. Step 5: Solve for x
    x = 119,690,347.85/11,357.82
  6. Step 6: Final answer
    x = 10,538.14

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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.