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Finding the Fourth Proportional to 8,035.40, 12,053.10 and 2,192.00

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Solution

The fourth proportional to 8,035.40, 12,053.10 and 2,192.00 is: 3,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.40 : 12,053.10 = 2,192.00 : x
  2. Step 2: Convert to fraction form
    8,035.40/12,053.10 = 2,192.00/x
  3. Step 3: Cross multiply
    8,035.40x = 12,053.10 × 2,192.00
  4. Step 4: Simplify right side
    8,035.40x = 26,420,343.15
  5. Step 5: Solve for x
    x = 26,420,343.15/8,035.40
  6. Step 6: Final answer
    x = 3,287.99

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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.