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Finding the Fourth Proportional to 7,078.10, 9,767.76 and 3,934.28

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Solution

The fourth proportional to 7,078.10, 9,767.76 and 3,934.28 is: 5,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.10 : 9,767.76 = 3,934.28 : x
  2. Step 2: Convert to fraction form
    7,078.10/9,767.76 = 3,934.28/x
  3. Step 3: Cross multiply
    7,078.10x = 9,767.76 × 3,934.28
  4. Step 4: Simplify right side
    7,078.10x = 38,429,112.48
  5. Step 5: Solve for x
    x = 38,429,112.48/7,078.10
  6. Step 6: Final answer
    x = 5,429.30

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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.