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Finding the Fourth Proportional to 9,783.80, 14,675.70 and 8,142.20

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Solution

The fourth proportional to 9,783.80, 14,675.70 and 8,142.20 is: 12,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.80 : 14,675.70 = 8,142.20 : x
  2. Step 2: Convert to fraction form
    9,783.80/14,675.70 = 8,142.20/x
  3. Step 3: Cross multiply
    9,783.80x = 14,675.70 × 8,142.20
  4. Step 4: Simplify right side
    9,783.80x = 119,492,484.54
  5. Step 5: Solve for x
    x = 119,492,484.54/9,783.80
  6. Step 6: Final answer
    x = 12,213.30

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Double scale
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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.