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Finding the Fourth Proportional to 14,431.56, 19,915.44 and 7,807.56

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Solution

The fourth proportional to 14,431.56, 19,915.44 and 7,807.56 is: 10,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.56 : 19,915.44 = 7,807.56 : x
  2. Step 2: Convert to fraction form
    14,431.56/19,915.44 = 7,807.56/x
  3. Step 3: Cross multiply
    14,431.56x = 19,915.44 × 7,807.56
  4. Step 4: Simplify right side
    14,431.56x = 155,490,992.73
  5. Step 5: Solve for x
    x = 155,490,992.73/14,431.56
  6. Step 6: Final answer
    x = 10,774.37

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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.