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Finding the Fourth Proportional to 14,591.54, 21,887.01 and 9,899.82

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Solution

The fourth proportional to 14,591.54, 21,887.01 and 9,899.82 is: 14,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.54 : 21,887.01 = 9,899.82 : x
  2. Step 2: Convert to fraction form
    14,591.54/21,887.01 = 9,899.82/x
  3. Step 3: Cross multiply
    14,591.54x = 21,887.01 × 9,899.82
  4. Step 4: Simplify right side
    14,591.54x = 216,677,459.34
  5. Step 5: Solve for x
    x = 216,677,459.34/14,591.54
  6. Step 6: Final answer
    x = 14,849.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.