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Finding the Fourth Proportional to 8,499.71, 11,731.16 and 6,633.47

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Solution

The fourth proportional to 8,499.71, 11,731.16 and 6,633.47 is: 9,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.71 : 11,731.16 = 6,633.47 : x
  2. Step 2: Convert to fraction form
    8,499.71/11,731.16 = 6,633.47/x
  3. Step 3: Cross multiply
    8,499.71x = 11,731.16 × 6,633.47
  4. Step 4: Simplify right side
    8,499.71x = 77,818,297.93
  5. Step 5: Solve for x
    x = 77,818,297.93/8,499.71
  6. Step 6: Final answer
    x = 9,155.41

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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.