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Finding the Fourth Proportional to 28,064.16, 42,091.92 and 9,596.16

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Solution

The fourth proportional to 28,064.16, 42,091.92 and 9,596.16 is: 14,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,064.16 : 42,091.92 = 9,596.16 : x
  2. Step 2: Convert to fraction form
    28,064.16/42,091.92 = 9,596.16/x
  3. Step 3: Cross multiply
    28,064.16x = 42,091.92 × 9,596.16
  4. Step 4: Simplify right side
    28,064.16x = 403,920,799.03
  5. Step 5: Solve for x
    x = 403,920,799.03/28,064.16
  6. Step 6: Final answer
    x = 14,392.76

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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.