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Finding the Fourth Proportional to 9,478.88, 14,227.92 and 8,548.10

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Solution

The fourth proportional to 9,478.88, 14,227.92 and 8,548.10 is: 12,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.88 : 14,227.92 = 8,548.10 : x
  2. Step 2: Convert to fraction form
    9,478.88/14,227.92 = 8,548.10/x
  3. Step 3: Cross multiply
    9,478.88x = 14,227.92 × 8,548.10
  4. Step 4: Simplify right side
    9,478.88x = 121,621,611.81
  5. Step 5: Solve for x
    x = 121,621,611.81/9,478.88
  6. Step 6: Final answer
    x = 12,830.81

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1.5x scale

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.