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Finding the Fourth Proportional to 6,445.08, 9,667.62 and 1,828.08

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Solution

The fourth proportional to 6,445.08, 9,667.62 and 1,828.08 is: 2,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.08 : 9,667.62 = 1,828.08 : x
  2. Step 2: Convert to fraction form
    6,445.08/9,667.62 = 1,828.08/x
  3. Step 3: Cross multiply
    6,445.08x = 9,667.62 × 1,828.08
  4. Step 4: Simplify right side
    6,445.08x = 17,673,182.77
  5. Step 5: Solve for x
    x = 17,673,182.77/6,445.08
  6. Step 6: Final answer
    x = 2,742.12

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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.