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Finding the Fourth Proportional to 6,476.41, 9,713.43 and 1,732.63

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Solution

The fourth proportional to 6,476.41, 9,713.43 and 1,732.63 is: 2,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.41 : 9,713.43 = 1,732.63 : x
  2. Step 2: Convert to fraction form
    6,476.41/9,713.43 = 1,732.63/x
  3. Step 3: Cross multiply
    6,476.41x = 9,713.43 × 1,732.63
  4. Step 4: Simplify right side
    6,476.41x = 16,829,780.22
  5. Step 5: Solve for x
    x = 16,829,780.22/6,476.41
  6. Step 6: Final answer
    x = 2,598.63

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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.