Home / 16,024-22,113.12-9,735.16

Finding the Fourth Proportional to 16,024, 22,113.12 and 9,735.16

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Solution

The fourth proportional to 16,024, 22,113.12 and 9,735.16 is: 13,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 22,113.12 = 9,735.16 : x
  2. Step 2: Convert to fraction form
    16,024/22,113.12 = 9,735.16/x
  3. Step 3: Cross multiply
    16,024x = 22,113.12 × 9,735.16
  4. Step 4: Simplify right side
    16,024x = 215,274,761.30
  5. Step 5: Solve for x
    x = 215,274,761.30/16,024
  6. Step 6: Final answer
    x = 13,434.52

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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.