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Finding the Fourth Proportional to 28,201.42, 42,302.13 and 7,424.92

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Solution

The fourth proportional to 28,201.42, 42,302.13 and 7,424.92 is: 11,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,201.42 : 42,302.13 = 7,424.92 : x
  2. Step 2: Convert to fraction form
    28,201.42/42,302.13 = 7,424.92/x
  3. Step 3: Cross multiply
    28,201.42x = 42,302.13 × 7,424.92
  4. Step 4: Simplify right side
    28,201.42x = 314,089,931.08
  5. Step 5: Solve for x
    x = 314,089,931.08/28,201.42
  6. Step 6: Final answer
    x = 11,137.38

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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.