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Finding the Fourth Proportional to 7,802.69, 11,698.56 and 2,871.70

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Solution

The fourth proportional to 7,802.69, 11,698.56 and 2,871.70 is: 4,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.69 : 11,698.56 = 2,871.70 : x
  2. Step 2: Convert to fraction form
    7,802.69/11,698.56 = 2,871.70/x
  3. Step 3: Cross multiply
    7,802.69x = 11,698.56 × 2,871.70
  4. Step 4: Simplify right side
    7,802.69x = 33,594,754.75
  5. Step 5: Solve for x
    x = 33,594,754.75/7,802.69
  6. Step 6: Final answer
    x = 4,305.53

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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.