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Finding the Fourth Proportional to 6,503.79, 9,736.55 and 4,030.66

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Solution

The fourth proportional to 6,503.79, 9,736.55 and 4,030.66 is: 6,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.79 : 9,736.55 = 4,030.66 : x
  2. Step 2: Convert to fraction form
    6,503.79/9,736.55 = 4,030.66/x
  3. Step 3: Cross multiply
    6,503.79x = 9,736.55 × 4,030.66
  4. Step 4: Simplify right side
    6,503.79x = 39,244,678.13
  5. Step 5: Solve for x
    x = 39,244,678.13/6,503.79
  6. Step 6: Final answer
    x = 6,034.12

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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.