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Finding the Fourth Proportional to 9,266.58, 12,779.24 and 5,905.89

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Solution

The fourth proportional to 9,266.58, 12,779.24 and 5,905.89 is: 8,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.58 : 12,779.24 = 5,905.89 : x
  2. Step 2: Convert to fraction form
    9,266.58/12,779.24 = 5,905.89/x
  3. Step 3: Cross multiply
    9,266.58x = 12,779.24 × 5,905.89
  4. Step 4: Simplify right side
    9,266.58x = 75,472,756.19
  5. Step 5: Solve for x
    x = 75,472,756.19/9,266.58
  6. Step 6: Final answer
    x = 8,144.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.