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Finding the Fourth Proportional to 10,195.80, 15,293.70 and 2,801.40

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Solution

The fourth proportional to 10,195.80, 15,293.70 and 2,801.40 is: 4,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.80 : 15,293.70 = 2,801.40 : x
  2. Step 2: Convert to fraction form
    10,195.80/15,293.70 = 2,801.40/x
  3. Step 3: Cross multiply
    10,195.80x = 15,293.70 × 2,801.40
  4. Step 4: Simplify right side
    10,195.80x = 42,843,771.18
  5. Step 5: Solve for x
    x = 42,843,771.18/10,195.80
  6. Step 6: Final answer
    x = 4,202.10

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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.