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Finding the Fourth Proportional to 8,391, 12,587.94 and 2,548.20

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Solution

The fourth proportional to 8,391, 12,587.94 and 2,548.20 is: 3,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391 : 12,587.94 = 2,548.20 : x
  2. Step 2: Convert to fraction form
    8,391/12,587.94 = 2,548.20/x
  3. Step 3: Cross multiply
    8,391x = 12,587.94 × 2,548.20
  4. Step 4: Simplify right side
    8,391x = 32,076,588.71
  5. Step 5: Solve for x
    x = 32,076,588.71/8,391
  6. Step 6: Final answer
    x = 3,822.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.