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Finding the Fourth Proportional to 6,795.92, 9,375.63 and 4,242.20

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Solution

The fourth proportional to 6,795.92, 9,375.63 and 4,242.20 is: 5,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.92 : 9,375.63 = 4,242.20 : x
  2. Step 2: Convert to fraction form
    6,795.92/9,375.63 = 4,242.20/x
  3. Step 3: Cross multiply
    6,795.92x = 9,375.63 × 4,242.20
  4. Step 4: Simplify right side
    6,795.92x = 39,773,250.71
  5. Step 5: Solve for x
    x = 39,773,250.71/6,795.92
  6. Step 6: Final answer
    x = 5,852.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.