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Finding the Fourth Proportional to 25,784.00, 38,676.03 and 7,064.20

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Solution

The fourth proportional to 25,784.00, 38,676.03 and 7,064.20 is: 10,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.00 : 38,676.03 = 7,064.20 : x
  2. Step 2: Convert to fraction form
    25,784.00/38,676.03 = 7,064.20/x
  3. Step 3: Cross multiply
    25,784.00x = 38,676.03 × 7,064.20
  4. Step 4: Simplify right side
    25,784.00x = 273,215,285.96
  5. Step 5: Solve for x
    x = 273,215,285.96/25,784.00
  6. Step 6: Final answer
    x = 10,596.31

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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.