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Finding the Fourth Proportional to 15,807.56, 21,814 and 8,732.84

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Solution

The fourth proportional to 15,807.56, 21,814 and 8,732.84 is: 12,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.56 : 21,814 = 8,732.84 : x
  2. Step 2: Convert to fraction form
    15,807.56/21,814 = 8,732.84/x
  3. Step 3: Cross multiply
    15,807.56x = 21,814 × 8,732.84
  4. Step 4: Simplify right side
    15,807.56x = 190,498,171.76
  5. Step 5: Solve for x
    x = 190,498,171.76/15,807.56
  6. Step 6: Final answer
    x = 12,051.08

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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.