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Finding the Fourth Proportional to 8,156.58, 11,267.72 and 7,566.09

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Solution

The fourth proportional to 8,156.58, 11,267.72 and 7,566.09 is: 10,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.58 : 11,267.72 = 7,566.09 : x
  2. Step 2: Convert to fraction form
    8,156.58/11,267.72 = 7,566.09/x
  3. Step 3: Cross multiply
    8,156.58x = 11,267.72 × 7,566.09
  4. Step 4: Simplify right side
    8,156.58x = 85,252,583.61
  5. Step 5: Solve for x
    x = 85,252,583.61/8,156.58
  6. Step 6: Final answer
    x = 10,452.00

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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.