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Finding the Fourth Proportional to 6,001.35, 9,002.16 and 4,769.63

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Solution

The fourth proportional to 6,001.35, 9,002.16 and 4,769.63 is: 7,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.35 : 9,002.16 = 4,769.63 : x
  2. Step 2: Convert to fraction form
    6,001.35/9,002.16 = 4,769.63/x
  3. Step 3: Cross multiply
    6,001.35x = 9,002.16 × 4,769.63
  4. Step 4: Simplify right side
    6,001.35x = 42,936,961.15
  5. Step 5: Solve for x
    x = 42,936,961.15/6,001.35
  6. Step 6: Final answer
    x = 7,154.55

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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.