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Finding the Fourth Proportional to 7,566.64, 11,335.64 and 4,282.09

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Solution

The fourth proportional to 7,566.64, 11,335.64 and 4,282.09 is: 6,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.64 : 11,335.64 = 4,282.09 : x
  2. Step 2: Convert to fraction form
    7,566.64/11,335.64 = 4,282.09/x
  3. Step 3: Cross multiply
    7,566.64x = 11,335.64 × 4,282.09
  4. Step 4: Simplify right side
    7,566.64x = 48,540,174.01
  5. Step 5: Solve for x
    x = 48,540,174.01/7,566.64
  6. Step 6: Final answer
    x = 6,415.03

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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.