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Finding the Fourth Proportional to 8,075.70, 12,094.92 and 7,008.12

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Solution

The fourth proportional to 8,075.70, 12,094.92 and 7,008.12 is: 10,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.70 : 12,094.92 = 7,008.12 : x
  2. Step 2: Convert to fraction form
    8,075.70/12,094.92 = 7,008.12/x
  3. Step 3: Cross multiply
    8,075.70x = 12,094.92 × 7,008.12
  4. Step 4: Simplify right side
    8,075.70x = 84,762,650.75
  5. Step 5: Solve for x
    x = 84,762,650.75/8,075.70
  6. Step 6: Final answer
    x = 10,496.01

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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.