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Finding the Fourth Proportional to 7,482.71, 11,214.27 and 5,409.65

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Solution

The fourth proportional to 7,482.71, 11,214.27 and 5,409.65 is: 8,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.71 : 11,214.27 = 5,409.65 : x
  2. Step 2: Convert to fraction form
    7,482.71/11,214.27 = 5,409.65/x
  3. Step 3: Cross multiply
    7,482.71x = 11,214.27 × 5,409.65
  4. Step 4: Simplify right side
    7,482.71x = 60,665,219.63
  5. Step 5: Solve for x
    x = 60,665,219.63/7,482.71
  6. Step 6: Final answer
    x = 8,107.39

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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.