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Finding the Fourth Proportional to 25,466.40, 38,199.86 and 7,697.20

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Solution

The fourth proportional to 25,466.40, 38,199.86 and 7,697.20 is: 11,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466.40 : 38,199.86 = 7,697.20 : x
  2. Step 2: Convert to fraction form
    25,466.40/38,199.86 = 7,697.20/x
  3. Step 3: Cross multiply
    25,466.40x = 38,199.86 × 7,697.20
  4. Step 4: Simplify right side
    25,466.40x = 294,031,923.91
  5. Step 5: Solve for x
    x = 294,031,923.91/25,466.40
  6. Step 6: Final answer
    x = 11,545.88

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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.