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Finding the Fourth Proportional to 6,412.96, 8,852.61 and 4,318.30

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Solution

The fourth proportional to 6,412.96, 8,852.61 and 4,318.30 is: 5,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.96 : 8,852.61 = 4,318.30 : x
  2. Step 2: Convert to fraction form
    6,412.96/8,852.61 = 4,318.30/x
  3. Step 3: Cross multiply
    6,412.96x = 8,852.61 × 4,318.30
  4. Step 4: Simplify right side
    6,412.96x = 38,228,225.76
  5. Step 5: Solve for x
    x = 38,228,225.76/6,412.96
  6. Step 6: Final answer
    x = 5,961.09

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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.