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Finding the Fourth Proportional to 9,700.40, 14,553.30 and 4,156.40

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Solution

The fourth proportional to 9,700.40, 14,553.30 and 4,156.40 is: 6,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.40 : 14,553.30 = 4,156.40 : x
  2. Step 2: Convert to fraction form
    9,700.40/14,553.30 = 4,156.40/x
  3. Step 3: Cross multiply
    9,700.40x = 14,553.30 × 4,156.40
  4. Step 4: Simplify right side
    9,700.40x = 60,489,336.12
  5. Step 5: Solve for x
    x = 60,489,336.12/9,700.40
  6. Step 6: Final answer
    x = 6,235.76

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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.