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Finding the Fourth Proportional to 10,745.58, 14,827.58 and 6,270.42

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Solution

The fourth proportional to 10,745.58, 14,827.58 and 6,270.42 is: 8,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.58 : 14,827.58 = 6,270.42 : x
  2. Step 2: Convert to fraction form
    10,745.58/14,827.58 = 6,270.42/x
  3. Step 3: Cross multiply
    10,745.58x = 14,827.58 × 6,270.42
  4. Step 4: Simplify right side
    10,745.58x = 92,975,122.83
  5. Step 5: Solve for x
    x = 92,975,122.83/10,745.58
  6. Step 6: Final answer
    x = 8,652.41

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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.