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Finding the Fourth Proportional to 14,643.99, 20,203.76 and 9,537.21

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Solution

The fourth proportional to 14,643.99, 20,203.76 and 9,537.21 is: 13,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.99 : 20,203.76 = 9,537.21 : x
  2. Step 2: Convert to fraction form
    14,643.99/20,203.76 = 9,537.21/x
  3. Step 3: Cross multiply
    14,643.99x = 20,203.76 × 9,537.21
  4. Step 4: Simplify right side
    14,643.99x = 192,687,525.75
  5. Step 5: Solve for x
    x = 192,687,525.75/14,643.99
  6. Step 6: Final answer
    x = 13,158.13

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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.