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Finding the Fourth Proportional to 14,019.14, 19,346.64 and 7,731.14

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Solution

The fourth proportional to 14,019.14, 19,346.64 and 7,731.14 is: 10,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.14 : 19,346.64 = 7,731.14 : x
  2. Step 2: Convert to fraction form
    14,019.14/19,346.64 = 7,731.14/x
  3. Step 3: Cross multiply
    14,019.14x = 19,346.64 × 7,731.14
  4. Step 4: Simplify right side
    14,019.14x = 149,571,582.37
  5. Step 5: Solve for x
    x = 149,571,582.37/14,019.14
  6. Step 6: Final answer
    x = 10,669.10

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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.