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Finding the Fourth Proportional to 16,465.49, 22,720.93 and 9,749.91

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Solution

The fourth proportional to 16,465.49, 22,720.93 and 9,749.91 is: 13,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.49 : 22,720.93 = 9,749.91 : x
  2. Step 2: Convert to fraction form
    16,465.49/22,720.93 = 9,749.91/x
  3. Step 3: Cross multiply
    16,465.49x = 22,720.93 × 9,749.91
  4. Step 4: Simplify right side
    16,465.49x = 221,527,022.62
  5. Step 5: Solve for x
    x = 221,527,022.62/16,465.49
  6. Step 6: Final answer
    x = 13,454.02

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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.