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Finding the Fourth Proportional to 10,380.48, 14,326.92 and 6,189

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Solution

The fourth proportional to 10,380.48, 14,326.92 and 6,189 is: 8,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.48 : 14,326.92 = 6,189 : x
  2. Step 2: Convert to fraction form
    10,380.48/14,326.92 = 6,189/x
  3. Step 3: Cross multiply
    10,380.48x = 14,326.92 × 6,189
  4. Step 4: Simplify right side
    10,380.48x = 88,669,307.88
  5. Step 5: Solve for x
    x = 88,669,307.88/10,380.48
  6. Step 6: Final answer
    x = 8,541.93

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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.