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Finding the Fourth Proportional to 7,802.52, 11,704.50 and 2,609.16

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Solution

The fourth proportional to 7,802.52, 11,704.50 and 2,609.16 is: 3,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.52 : 11,704.50 = 2,609.16 : x
  2. Step 2: Convert to fraction form
    7,802.52/11,704.50 = 2,609.16/x
  3. Step 3: Cross multiply
    7,802.52x = 11,704.50 × 2,609.16
  4. Step 4: Simplify right side
    7,802.52x = 30,538,913.22
  5. Step 5: Solve for x
    x = 30,538,913.22/7,802.52
  6. Step 6: Final answer
    x = 3,913.98

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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.