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Finding the Fourth Proportional to 14,497.56, 20,006.52 and 7,873.56

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Solution

The fourth proportional to 14,497.56, 20,006.52 and 7,873.56 is: 10,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.56 : 20,006.52 = 7,873.56 : x
  2. Step 2: Convert to fraction form
    14,497.56/20,006.52 = 7,873.56/x
  3. Step 3: Cross multiply
    14,497.56x = 20,006.52 × 7,873.56
  4. Step 4: Simplify right side
    14,497.56x = 157,522,535.61
  5. Step 5: Solve for x
    x = 157,522,535.61/14,497.56
  6. Step 6: Final answer
    x = 10,865.45

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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.