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Finding the Fourth Proportional to 9,906.64, 14,859.96 and 4,716.16

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Solution

The fourth proportional to 9,906.64, 14,859.96 and 4,716.16 is: 7,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.64 : 14,859.96 = 4,716.16 : x
  2. Step 2: Convert to fraction form
    9,906.64/14,859.96 = 4,716.16/x
  3. Step 3: Cross multiply
    9,906.64x = 14,859.96 × 4,716.16
  4. Step 4: Simplify right side
    9,906.64x = 70,081,948.95
  5. Step 5: Solve for x
    x = 70,081,948.95/9,906.64
  6. Step 6: Final answer
    x = 7,074.24

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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.