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Finding the Fourth Proportional to 9,779.44, 14,658.36 and 4,231.84

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Solution

The fourth proportional to 9,779.44, 14,658.36 and 4,231.84 is: 6,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.44 : 14,658.36 = 4,231.84 : x
  2. Step 2: Convert to fraction form
    9,779.44/14,658.36 = 4,231.84/x
  3. Step 3: Cross multiply
    9,779.44x = 14,658.36 × 4,231.84
  4. Step 4: Simplify right side
    9,779.44x = 62,031,834.18
  5. Step 5: Solve for x
    x = 62,031,834.18/9,779.44
  6. Step 6: Final answer
    x = 6,343.09

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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.