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Finding the Fourth Proportional to 6,193.98, 8,547.86 and 3,505

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Solution

The fourth proportional to 6,193.98, 8,547.86 and 3,505 is: 4,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.98 : 8,547.86 = 3,505 : x
  2. Step 2: Convert to fraction form
    6,193.98/8,547.86 = 3,505/x
  3. Step 3: Cross multiply
    6,193.98x = 8,547.86 × 3,505
  4. Step 4: Simplify right side
    6,193.98x = 29,960,249.30
  5. Step 5: Solve for x
    x = 29,960,249.30/6,193.98
  6. Step 6: Final answer
    x = 4,836.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.