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Finding the Fourth Proportional to 6,902.04, 10,289.13 and 6,795.48

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Solution

The fourth proportional to 6,902.04, 10,289.13 and 6,795.48 is: 10,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.04 : 10,289.13 = 6,795.48 : x
  2. Step 2: Convert to fraction form
    6,902.04/10,289.13 = 6,795.48/x
  3. Step 3: Cross multiply
    6,902.04x = 10,289.13 × 6,795.48
  4. Step 4: Simplify right side
    6,902.04x = 69,919,577.13
  5. Step 5: Solve for x
    x = 69,919,577.13/6,902.04
  6. Step 6: Final answer
    x = 10,130.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.