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Finding the Fourth Proportional to 9,873.16, 14,805.66 and 3,297.64

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Solution

The fourth proportional to 9,873.16, 14,805.66 and 3,297.64 is: 4,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.16 : 14,805.66 = 3,297.64 : x
  2. Step 2: Convert to fraction form
    9,873.16/14,805.66 = 3,297.64/x
  3. Step 3: Cross multiply
    9,873.16x = 14,805.66 × 3,297.64
  4. Step 4: Simplify right side
    9,873.16x = 48,823,736.64
  5. Step 5: Solve for x
    x = 48,823,736.64/9,873.16
  6. Step 6: Final answer
    x = 4,945.10

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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.