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Finding the Fourth Proportional to 7,772.52, 11,656.92 and 3,090.50

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Solution

The fourth proportional to 7,772.52, 11,656.92 and 3,090.50 is: 4,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.52 : 11,656.92 = 3,090.50 : x
  2. Step 2: Convert to fraction form
    7,772.52/11,656.92 = 3,090.50/x
  3. Step 3: Cross multiply
    7,772.52x = 11,656.92 × 3,090.50
  4. Step 4: Simplify right side
    7,772.52x = 36,025,711.26
  5. Step 5: Solve for x
    x = 36,025,711.26/7,772.52
  6. Step 6: Final answer
    x = 4,635.01

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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.