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Finding the Fourth Proportional to 9,784.70, 14,676.42 and 4,234.13

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Solution

The fourth proportional to 9,784.70, 14,676.42 and 4,234.13 is: 6,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.70 : 14,676.42 = 4,234.13 : x
  2. Step 2: Convert to fraction form
    9,784.70/14,676.42 = 4,234.13/x
  3. Step 3: Cross multiply
    9,784.70x = 14,676.42 × 4,234.13
  4. Step 4: Simplify right side
    9,784.70x = 62,141,870.21
  5. Step 5: Solve for x
    x = 62,141,870.21/9,784.70
  6. Step 6: Final answer
    x = 6,350.92

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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.