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Finding the Fourth Proportional to 14,906.16, 22,357.80 and 7,507.68

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Solution

The fourth proportional to 14,906.16, 22,357.80 and 7,507.68 is: 11,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.16 : 22,357.80 = 7,507.68 : x
  2. Step 2: Convert to fraction form
    14,906.16/22,357.80 = 7,507.68/x
  3. Step 3: Cross multiply
    14,906.16x = 22,357.80 × 7,507.68
  4. Step 4: Simplify right side
    14,906.16x = 167,855,207.90
  5. Step 5: Solve for x
    x = 167,855,207.90/14,906.16
  6. Step 6: Final answer
    x = 11,260.79

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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.