Home / 7,564.20-10,438.50-4,207

Finding the Fourth Proportional to 7,564.20, 10,438.50 and 4,207

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Solution

The fourth proportional to 7,564.20, 10,438.50 and 4,207 is: 5,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.20 : 10,438.50 = 4,207 : x
  2. Step 2: Convert to fraction form
    7,564.20/10,438.50 = 4,207/x
  3. Step 3: Cross multiply
    7,564.20x = 10,438.50 × 4,207
  4. Step 4: Simplify right side
    7,564.20x = 43,914,769.50
  5. Step 5: Solve for x
    x = 43,914,769.50/7,564.20
  6. Step 6: Final answer
    x = 5,805.61

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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.