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Finding the Fourth Proportional to 7,078.65, 9,768.77 and 3,892.08

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Solution

The fourth proportional to 7,078.65, 9,768.77 and 3,892.08 is: 5,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.65 : 9,768.77 = 3,892.08 : x
  2. Step 2: Convert to fraction form
    7,078.65/9,768.77 = 3,892.08/x
  3. Step 3: Cross multiply
    7,078.65x = 9,768.77 × 3,892.08
  4. Step 4: Simplify right side
    7,078.65x = 38,020,834.34
  5. Step 5: Solve for x
    x = 38,020,834.34/7,078.65
  6. Step 6: Final answer
    x = 5,371.20

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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.