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Finding the Fourth Proportional to 8,583.22, 12,810.48 and 8,022.71

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Solution

The fourth proportional to 8,583.22, 12,810.48 and 8,022.71 is: 11,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.22 : 12,810.48 = 8,022.71 : x
  2. Step 2: Convert to fraction form
    8,583.22/12,810.48 = 8,022.71/x
  3. Step 3: Cross multiply
    8,583.22x = 12,810.48 × 8,022.71
  4. Step 4: Simplify right side
    8,583.22x = 102,774,767.94
  5. Step 5: Solve for x
    x = 102,774,767.94/8,583.22
  6. Step 6: Final answer
    x = 11,973.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.