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Finding the Fourth Proportional to 10,357.01, 15,542.50 and 3,783.86

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Solution

The fourth proportional to 10,357.01, 15,542.50 and 3,783.86 is: 5,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.01 : 15,542.50 = 3,783.86 : x
  2. Step 2: Convert to fraction form
    10,357.01/15,542.50 = 3,783.86/x
  3. Step 3: Cross multiply
    10,357.01x = 15,542.50 × 3,783.86
  4. Step 4: Simplify right side
    10,357.01x = 58,810,644.05
  5. Step 5: Solve for x
    x = 58,810,644.05/10,357.01
  6. Step 6: Final answer
    x = 5,678.34

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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.