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Finding the Fourth Proportional to 11,674.25, 16,110.47 and 7,482.50

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Solution

The fourth proportional to 11,674.25, 16,110.47 and 7,482.50 is: 10,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.25 : 16,110.47 = 7,482.50 : x
  2. Step 2: Convert to fraction form
    11,674.25/16,110.47 = 7,482.50/x
  3. Step 3: Cross multiply
    11,674.25x = 16,110.47 × 7,482.50
  4. Step 4: Simplify right side
    11,674.25x = 120,546,554.36
  5. Step 5: Solve for x
    x = 120,546,554.36/11,674.25
  6. Step 6: Final answer
    x = 10,325.85

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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.