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Finding the Fourth Proportional to 6,001.63, 9,002.58 and 4,769.89

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Solution

The fourth proportional to 6,001.63, 9,002.58 and 4,769.89 is: 7,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.63 : 9,002.58 = 4,769.89 : x
  2. Step 2: Convert to fraction form
    6,001.63/9,002.58 = 4,769.89/x
  3. Step 3: Cross multiply
    6,001.63x = 9,002.58 × 4,769.89
  4. Step 4: Simplify right side
    6,001.63x = 42,941,275.92
  5. Step 5: Solve for x
    x = 42,941,275.92/6,001.63
  6. Step 6: Final answer
    x = 7,154.94

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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.