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Finding the Fourth Proportional to 6,713.50, 10,070.52 and 1,783.18

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Solution

The fourth proportional to 6,713.50, 10,070.52 and 1,783.18 is: 2,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.50 : 10,070.52 = 1,783.18 : x
  2. Step 2: Convert to fraction form
    6,713.50/10,070.52 = 1,783.18/x
  3. Step 3: Cross multiply
    6,713.50x = 10,070.52 × 1,783.18
  4. Step 4: Simplify right side
    6,713.50x = 17,957,560.77
  5. Step 5: Solve for x
    x = 17,957,560.77/6,713.50
  6. Step 6: Final answer
    x = 2,674.84

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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.