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Finding the Fourth Proportional to 15,871.50, 23,805.42 and 6,383.46

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Solution

The fourth proportional to 15,871.50, 23,805.42 and 6,383.46 is: 9,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.50 : 23,805.42 = 6,383.46 : x
  2. Step 2: Convert to fraction form
    15,871.50/23,805.42 = 6,383.46/x
  3. Step 3: Cross multiply
    15,871.50x = 23,805.42 × 6,383.46
  4. Step 4: Simplify right side
    15,871.50x = 151,960,946.35
  5. Step 5: Solve for x
    x = 151,960,946.35/15,871.50
  6. Step 6: Final answer
    x = 9,574.45

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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.