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Finding the Fourth Proportional to 9,883.02, 14,824.53 and 6,824.46

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Solution

The fourth proportional to 9,883.02, 14,824.53 and 6,824.46 is: 10,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.02 : 14,824.53 = 6,824.46 : x
  2. Step 2: Convert to fraction form
    9,883.02/14,824.53 = 6,824.46/x
  3. Step 3: Cross multiply
    9,883.02x = 14,824.53 × 6,824.46
  4. Step 4: Simplify right side
    9,883.02x = 101,169,412.00
  5. Step 5: Solve for x
    x = 101,169,412.00/9,883.02
  6. Step 6: Final answer
    x = 10,236.69

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.