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Finding the Fourth Proportional to 14,151.40, 21,223.58 and 5,829.16

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Solution

The fourth proportional to 14,151.40, 21,223.58 and 5,829.16 is: 8,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.40 : 21,223.58 = 5,829.16 : x
  2. Step 2: Convert to fraction form
    14,151.40/21,223.58 = 5,829.16/x
  3. Step 3: Cross multiply
    14,151.40x = 21,223.58 × 5,829.16
  4. Step 4: Simplify right side
    14,151.40x = 123,715,643.59
  5. Step 5: Solve for x
    x = 123,715,643.59/14,151.40
  6. Step 6: Final answer
    x = 8,742.29

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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.