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Finding the Fourth Proportional to 9,710.70, 13,402.17 and 6,179.10

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Solution

The fourth proportional to 9,710.70, 13,402.17 and 6,179.10 is: 8,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.70 : 13,402.17 = 6,179.10 : x
  2. Step 2: Convert to fraction form
    9,710.70/13,402.17 = 6,179.10/x
  3. Step 3: Cross multiply
    9,710.70x = 13,402.17 × 6,179.10
  4. Step 4: Simplify right side
    9,710.70x = 82,813,348.65
  5. Step 5: Solve for x
    x = 82,813,348.65/9,710.70
  6. Step 6: Final answer
    x = 8,528.05

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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.