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Finding the Fourth Proportional to 9,967.66, 13,740.60 and 6,382.10

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Solution

The fourth proportional to 9,967.66, 13,740.60 and 6,382.10 is: 8,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.66 : 13,740.60 = 6,382.10 : x
  2. Step 2: Convert to fraction form
    9,967.66/13,740.60 = 6,382.10/x
  3. Step 3: Cross multiply
    9,967.66x = 13,740.60 × 6,382.10
  4. Step 4: Simplify right side
    9,967.66x = 87,693,883.26
  5. Step 5: Solve for x
    x = 87,693,883.26/9,967.66
  6. Step 6: Final answer
    x = 8,797.84

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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.