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Finding the Fourth Proportional to 9,718.16, 14,579.09 and 6,728.81

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Solution

The fourth proportional to 9,718.16, 14,579.09 and 6,728.81 is: 10,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.16 : 14,579.09 = 6,728.81 : x
  2. Step 2: Convert to fraction form
    9,718.16/14,579.09 = 6,728.81/x
  3. Step 3: Cross multiply
    9,718.16x = 14,579.09 × 6,728.81
  4. Step 4: Simplify right side
    9,718.16x = 98,099,845.28
  5. Step 5: Solve for x
    x = 98,099,845.28/9,718.16
  6. Step 6: Final answer
    x = 10,094.49

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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.