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Finding the Fourth Proportional to 14,801.30, 22,191.02 and 7,001

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Solution

The fourth proportional to 14,801.30, 22,191.02 and 7,001 is: 10,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.30 : 22,191.02 = 7,001 : x
  2. Step 2: Convert to fraction form
    14,801.30/22,191.02 = 7,001/x
  3. Step 3: Cross multiply
    14,801.30x = 22,191.02 × 7,001
  4. Step 4: Simplify right side
    14,801.30x = 155,359,331.02
  5. Step 5: Solve for x
    x = 155,359,331.02/14,801.30
  6. Step 6: Final answer
    x = 10,496.33

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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.