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Finding the Fourth Proportional to 6,848.65, 9,451.21 and 3,864.52

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Solution

The fourth proportional to 6,848.65, 9,451.21 and 3,864.52 is: 5,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.65 : 9,451.21 = 3,864.52 : x
  2. Step 2: Convert to fraction form
    6,848.65/9,451.21 = 3,864.52/x
  3. Step 3: Cross multiply
    6,848.65x = 9,451.21 × 3,864.52
  4. Step 4: Simplify right side
    6,848.65x = 36,524,342.81
  5. Step 5: Solve for x
    x = 36,524,342.81/6,848.65
  6. Step 6: Final answer
    x = 5,333.08

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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.