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Finding the Fourth Proportional to 6,486.98, 9,729.65 and 1,807.34

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Solution

The fourth proportional to 6,486.98, 9,729.65 and 1,807.34 is: 2,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.98 : 9,729.65 = 1,807.34 : x
  2. Step 2: Convert to fraction form
    6,486.98/9,729.65 = 1,807.34/x
  3. Step 3: Cross multiply
    6,486.98x = 9,729.65 × 1,807.34
  4. Step 4: Simplify right side
    6,486.98x = 17,584,785.63
  5. Step 5: Solve for x
    x = 17,584,785.63/6,486.98
  6. Step 6: Final answer
    x = 2,710.78

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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.