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Finding the Fourth Proportional to 6,470.50, 9,699.02 and 4,390.69

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Solution

The fourth proportional to 6,470.50, 9,699.02 and 4,390.69 is: 6,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.50 : 9,699.02 = 4,390.69 : x
  2. Step 2: Convert to fraction form
    6,470.50/9,699.02 = 4,390.69/x
  3. Step 3: Cross multiply
    6,470.50x = 9,699.02 × 4,390.69
  4. Step 4: Simplify right side
    6,470.50x = 42,585,390.12
  5. Step 5: Solve for x
    x = 42,585,390.12/6,470.50
  6. Step 6: Final answer
    x = 6,581.47

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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.