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Finding the Fourth Proportional to 9,708.60, 13,392.90 and 6,310.38

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Solution

The fourth proportional to 9,708.60, 13,392.90 and 6,310.38 is: 8,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.60 : 13,392.90 = 6,310.38 : x
  2. Step 2: Convert to fraction form
    9,708.60/13,392.90 = 6,310.38/x
  3. Step 3: Cross multiply
    9,708.60x = 13,392.90 × 6,310.38
  4. Step 4: Simplify right side
    9,708.60x = 84,514,288.30
  5. Step 5: Solve for x
    x = 84,514,288.30/9,708.60
  6. Step 6: Final answer
    x = 8,705.10

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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.