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Finding the Fourth Proportional to 30,601.41, 45,897.79 and 9,822.21

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Solution

The fourth proportional to 30,601.41, 45,897.79 and 9,822.21 is: 14,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.41 : 45,897.79 = 9,822.21 : x
  2. Step 2: Convert to fraction form
    30,601.41/45,897.79 = 9,822.21/x
  3. Step 3: Cross multiply
    30,601.41x = 45,897.79 × 9,822.21
  4. Step 4: Simplify right side
    30,601.41x = 450,817,731.92
  5. Step 5: Solve for x
    x = 450,817,731.92/30,601.41
  6. Step 6: Final answer
    x = 14,731.93

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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.