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Finding the Fourth Proportional to 6,713.06, 10,070.09 and 1,782.59

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Solution

The fourth proportional to 6,713.06, 10,070.09 and 1,782.59 is: 2,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.06 : 10,070.09 = 1,782.59 : x
  2. Step 2: Convert to fraction form
    6,713.06/10,070.09 = 1,782.59/x
  3. Step 3: Cross multiply
    6,713.06x = 10,070.09 × 1,782.59
  4. Step 4: Simplify right side
    6,713.06x = 17,950,782.47
  5. Step 5: Solve for x
    x = 17,950,782.47/6,713.06
  6. Step 6: Final answer
    x = 2,674.01

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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.