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Finding the Fourth Proportional to 12,812.70, 19,204.65 and 6,570.30

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Solution

The fourth proportional to 12,812.70, 19,204.65 and 6,570.30 is: 9,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.70 : 19,204.65 = 6,570.30 : x
  2. Step 2: Convert to fraction form
    12,812.70/19,204.65 = 6,570.30/x
  3. Step 3: Cross multiply
    12,812.70x = 19,204.65 × 6,570.30
  4. Step 4: Simplify right side
    12,812.70x = 126,180,311.90
  5. Step 5: Solve for x
    x = 126,180,311.90/12,812.70
  6. Step 6: Final answer
    x = 9,848.07

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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.