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Finding the Fourth Proportional to 6,089.57, 9,134.67 and 1,930.02

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Solution

The fourth proportional to 6,089.57, 9,134.67 and 1,930.02 is: 2,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.57 : 9,134.67 = 1,930.02 : x
  2. Step 2: Convert to fraction form
    6,089.57/9,134.67 = 1,930.02/x
  3. Step 3: Cross multiply
    6,089.57x = 9,134.67 × 1,930.02
  4. Step 4: Simplify right side
    6,089.57x = 17,630,095.79
  5. Step 5: Solve for x
    x = 17,630,095.79/6,089.57
  6. Step 6: Final answer
    x = 2,895.13

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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.