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Finding the Fourth Proportional to 8,561.76, 11,798.64 and 6,073.44

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Solution

The fourth proportional to 8,561.76, 11,798.64 and 6,073.44 is: 8,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.76 : 11,798.64 = 6,073.44 : x
  2. Step 2: Convert to fraction form
    8,561.76/11,798.64 = 6,073.44/x
  3. Step 3: Cross multiply
    8,561.76x = 11,798.64 × 6,073.44
  4. Step 4: Simplify right side
    8,561.76x = 71,658,332.12
  5. Step 5: Solve for x
    x = 71,658,332.12/8,561.76
  6. Step 6: Final answer
    x = 8,369.58

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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.