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Finding the Fourth Proportional to 14,133.87, 19,507.14 and 8,169.00

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Solution

The fourth proportional to 14,133.87, 19,507.14 and 8,169.00 is: 11,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.87 : 19,507.14 = 8,169.00 : x
  2. Step 2: Convert to fraction form
    14,133.87/19,507.14 = 8,169.00/x
  3. Step 3: Cross multiply
    14,133.87x = 19,507.14 × 8,169.00
  4. Step 4: Simplify right side
    14,133.87x = 159,353,753.51
  5. Step 5: Solve for x
    x = 159,353,753.51/14,133.87
  6. Step 6: Final answer
    x = 11,274.60

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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.