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Finding the Fourth Proportional to 9,777.64, 14,645.22 and 6,017.96

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Solution

The fourth proportional to 9,777.64, 14,645.22 and 6,017.96 is: 9,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.64 : 14,645.22 = 6,017.96 : x
  2. Step 2: Convert to fraction form
    9,777.64/14,645.22 = 6,017.96/x
  3. Step 3: Cross multiply
    9,777.64x = 14,645.22 × 6,017.96
  4. Step 4: Simplify right side
    9,777.64x = 88,134,348.15
  5. Step 5: Solve for x
    x = 88,134,348.15/9,777.64
  6. Step 6: Final answer
    x = 9,013.87

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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.