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Finding the Fourth Proportional to 20,415.40, 30,623.10 and 6,565.80

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Solution

The fourth proportional to 20,415.40, 30,623.10 and 6,565.80 is: 9,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.40 : 30,623.10 = 6,565.80 : x
  2. Step 2: Convert to fraction form
    20,415.40/30,623.10 = 6,565.80/x
  3. Step 3: Cross multiply
    20,415.40x = 30,623.10 × 6,565.80
  4. Step 4: Simplify right side
    20,415.40x = 201,065,149.98
  5. Step 5: Solve for x
    x = 201,065,149.98/20,415.40
  6. Step 6: Final answer
    x = 9,848.70

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Similar ratio
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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.