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Finding the Fourth Proportional to 14,122.98, 19,491.44 and 8,154.64

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Solution

The fourth proportional to 14,122.98, 19,491.44 and 8,154.64 is: 11,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.98 : 19,491.44 = 8,154.64 : x
  2. Step 2: Convert to fraction form
    14,122.98/19,491.44 = 8,154.64/x
  3. Step 3: Cross multiply
    14,122.98x = 19,491.44 × 8,154.64
  4. Step 4: Simplify right side
    14,122.98x = 158,945,663.23
  5. Step 5: Solve for x
    x = 158,945,663.23/14,122.98
  6. Step 6: Final answer
    x = 11,254.40

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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.