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Finding the Fourth Proportional to 14,308.22, 19,744.35 and 7,935.14

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Solution

The fourth proportional to 14,308.22, 19,744.35 and 7,935.14 is: 10,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.22 : 19,744.35 = 7,935.14 : x
  2. Step 2: Convert to fraction form
    14,308.22/19,744.35 = 7,935.14/x
  3. Step 3: Cross multiply
    14,308.22x = 19,744.35 × 7,935.14
  4. Step 4: Simplify right side
    14,308.22x = 156,674,181.46
  5. Step 5: Solve for x
    x = 156,674,181.46/14,308.22
  6. Step 6: Final answer
    x = 10,949.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.