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Finding the Fourth Proportional to 10,784.64, 14,883.84 and 6,754.32

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Solution

The fourth proportional to 10,784.64, 14,883.84 and 6,754.32 is: 9,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.64 : 14,883.84 = 6,754.32 : x
  2. Step 2: Convert to fraction form
    10,784.64/14,883.84 = 6,754.32/x
  3. Step 3: Cross multiply
    10,784.64x = 14,883.84 × 6,754.32
  4. Step 4: Simplify right side
    10,784.64x = 100,530,218.19
  5. Step 5: Solve for x
    x = 100,530,218.19/10,784.64
  6. Step 6: Final answer
    x = 9,321.61

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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.