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Finding the Fourth Proportional to 14,567.75, 20,103.50 and 7,943.75

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Solution

The fourth proportional to 14,567.75, 20,103.50 and 7,943.75 is: 10,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.75 : 20,103.50 = 7,943.75 : x
  2. Step 2: Convert to fraction form
    14,567.75/20,103.50 = 7,943.75/x
  3. Step 3: Cross multiply
    14,567.75x = 20,103.50 × 7,943.75
  4. Step 4: Simplify right side
    14,567.75x = 159,697,178.13
  5. Step 5: Solve for x
    x = 159,697,178.13/14,567.75
  6. Step 6: Final answer
    x = 10,962.38

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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.