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Finding the Fourth Proportional to 8,031.40, 12,047.10 and 6,816.40

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Solution

The fourth proportional to 8,031.40, 12,047.10 and 6,816.40 is: 10,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.40 : 12,047.10 = 6,816.40 : x
  2. Step 2: Convert to fraction form
    8,031.40/12,047.10 = 6,816.40/x
  3. Step 3: Cross multiply
    8,031.40x = 12,047.10 × 6,816.40
  4. Step 4: Simplify right side
    8,031.40x = 82,117,852.44
  5. Step 5: Solve for x
    x = 82,117,852.44/8,031.40
  6. Step 6: Final answer
    x = 10,224.60

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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.