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Finding the Fourth Proportional to 8,443.71, 11,652.14 and 4,666.91

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Solution

The fourth proportional to 8,443.71, 11,652.14 and 4,666.91 is: 6,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.71 : 11,652.14 = 4,666.91 : x
  2. Step 2: Convert to fraction form
    8,443.71/11,652.14 = 4,666.91/x
  3. Step 3: Cross multiply
    8,443.71x = 11,652.14 × 4,666.91
  4. Step 4: Simplify right side
    8,443.71x = 54,379,407.09
  5. Step 5: Solve for x
    x = 54,379,407.09/8,443.71
  6. Step 6: Final answer
    x = 6,440.23

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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.