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Finding the Fourth Proportional to 7,098.30, 9,780.21 and 4,736.34

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Solution

The fourth proportional to 7,098.30, 9,780.21 and 4,736.34 is: 6,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.30 : 9,780.21 = 4,736.34 : x
  2. Step 2: Convert to fraction form
    7,098.30/9,780.21 = 4,736.34/x
  3. Step 3: Cross multiply
    7,098.30x = 9,780.21 × 4,736.34
  4. Step 4: Simplify right side
    7,098.30x = 46,322,399.83
  5. Step 5: Solve for x
    x = 46,322,399.83/7,098.30
  6. Step 6: Final answer
    x = 6,525.84

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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.