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Finding the Fourth Proportional to 6,802.50, 10,199.66 and 3,053.60

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Solution

The fourth proportional to 6,802.50, 10,199.66 and 3,053.60 is: 4,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.50 : 10,199.66 = 3,053.60 : x
  2. Step 2: Convert to fraction form
    6,802.50/10,199.66 = 3,053.60/x
  3. Step 3: Cross multiply
    6,802.50x = 10,199.66 × 3,053.60
  4. Step 4: Simplify right side
    6,802.50x = 31,145,681.78
  5. Step 5: Solve for x
    x = 31,145,681.78/6,802.50
  6. Step 6: Final answer
    x = 4,578.56

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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.