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Finding the Fourth Proportional to 30,260.46, 45,393.93 and 9,200.46

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Solution

The fourth proportional to 30,260.46, 45,393.93 and 9,200.46 is: 13,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260.46 : 45,393.93 = 9,200.46 : x
  2. Step 2: Convert to fraction form
    30,260.46/45,393.93 = 9,200.46/x
  3. Step 3: Cross multiply
    30,260.46x = 45,393.93 × 9,200.46
  4. Step 4: Simplify right side
    30,260.46x = 417,645,037.21
  5. Step 5: Solve for x
    x = 417,645,037.21/30,260.46
  6. Step 6: Final answer
    x = 13,801.68

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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.