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Finding the Fourth Proportional to 28,549.38, 42,830.40 and 9,829.02

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Solution

The fourth proportional to 28,549.38, 42,830.40 and 9,829.02 is: 14,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,549.38 : 42,830.40 = 9,829.02 : x
  2. Step 2: Convert to fraction form
    28,549.38/42,830.40 = 9,829.02/x
  3. Step 3: Cross multiply
    28,549.38x = 42,830.40 × 9,829.02
  4. Step 4: Simplify right side
    28,549.38x = 420,980,858.21
  5. Step 5: Solve for x
    x = 420,980,858.21/28,549.38
  6. Step 6: Final answer
    x = 14,745.71

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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.