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Finding the Fourth Proportional to 16,144, 22,280.64 and 10,567.36

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Solution

The fourth proportional to 16,144, 22,280.64 and 10,567.36 is: 14,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144 : 22,280.64 = 10,567.36 : x
  2. Step 2: Convert to fraction form
    16,144/22,280.64 = 10,567.36/x
  3. Step 3: Cross multiply
    16,144x = 22,280.64 × 10,567.36
  4. Step 4: Simplify right side
    16,144x = 235,447,543.91
  5. Step 5: Solve for x
    x = 235,447,543.91/16,144
  6. Step 6: Final answer
    x = 14,584.21

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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.