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Finding the Fourth Proportional to 7,866.48, 11,802.64 and 3,480.80

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Solution

The fourth proportional to 7,866.48, 11,802.64 and 3,480.80 is: 5,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.48 : 11,802.64 = 3,480.80 : x
  2. Step 2: Convert to fraction form
    7,866.48/11,802.64 = 3,480.80/x
  3. Step 3: Cross multiply
    7,866.48x = 11,802.64 × 3,480.80
  4. Step 4: Simplify right side
    7,866.48x = 41,082,629.31
  5. Step 5: Solve for x
    x = 41,082,629.31/7,866.48
  6. Step 6: Final answer
    x = 5,222.49

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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.