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Finding the Fourth Proportional to 6,573.80, 9,864.86 and 3,497.96

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Solution

The fourth proportional to 6,573.80, 9,864.86 and 3,497.96 is: 5,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.80 : 9,864.86 = 3,497.96 : x
  2. Step 2: Convert to fraction form
    6,573.80/9,864.86 = 3,497.96/x
  3. Step 3: Cross multiply
    6,573.80x = 9,864.86 × 3,497.96
  4. Step 4: Simplify right side
    6,573.80x = 34,506,885.69
  5. Step 5: Solve for x
    x = 34,506,885.69/6,573.80
  6. Step 6: Final answer
    x = 5,249.15

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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.