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Finding the Fourth Proportional to 6,444.92, 9,667.47 and 1,827.92

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Solution

The fourth proportional to 6,444.92, 9,667.47 and 1,827.92 is: 2,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.92 : 9,667.47 = 1,827.92 : x
  2. Step 2: Convert to fraction form
    6,444.92/9,667.47 = 1,827.92/x
  3. Step 3: Cross multiply
    6,444.92x = 9,667.47 × 1,827.92
  4. Step 4: Simplify right side
    6,444.92x = 17,671,313.43
  5. Step 5: Solve for x
    x = 17,671,313.43/6,444.92
  6. Step 6: Final answer
    x = 2,741.90

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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.