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Finding the Fourth Proportional to 9,474.72, 14,199.12 and 6,005.76

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Solution

The fourth proportional to 9,474.72, 14,199.12 and 6,005.76 is: 9,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.72 : 14,199.12 = 6,005.76 : x
  2. Step 2: Convert to fraction form
    9,474.72/14,199.12 = 6,005.76/x
  3. Step 3: Cross multiply
    9,474.72x = 14,199.12 × 6,005.76
  4. Step 4: Simplify right side
    9,474.72x = 85,276,506.93
  5. Step 5: Solve for x
    x = 85,276,506.93/9,474.72
  6. Step 6: Final answer
    x = 9,000.43

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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.