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Finding the Fourth Proportional to 7,502.14, 11,246.83 and 4,582.50

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Solution

The fourth proportional to 7,502.14, 11,246.83 and 4,582.50 is: 6,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.14 : 11,246.83 = 4,582.50 : x
  2. Step 2: Convert to fraction form
    7,502.14/11,246.83 = 4,582.50/x
  3. Step 3: Cross multiply
    7,502.14x = 11,246.83 × 4,582.50
  4. Step 4: Simplify right side
    7,502.14x = 51,538,544.84
  5. Step 5: Solve for x
    x = 51,538,544.84/7,502.14
  6. Step 6: Final answer
    x = 6,869.84

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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.