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Finding the Fourth Proportional to 10,125, 13,973.04 and 5,934.60

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Solution

The fourth proportional to 10,125, 13,973.04 and 5,934.60 is: 8,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125 : 13,973.04 = 5,934.60 : x
  2. Step 2: Convert to fraction form
    10,125/13,973.04 = 5,934.60/x
  3. Step 3: Cross multiply
    10,125x = 13,973.04 × 5,934.60
  4. Step 4: Simplify right side
    10,125x = 82,924,403.18
  5. Step 5: Solve for x
    x = 82,924,403.18/10,125
  6. Step 6: Final answer
    x = 8,190.06

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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.