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Finding the Fourth Proportional to 19,748.16, 29,617.92 and 7,436.16

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Solution

The fourth proportional to 19,748.16, 29,617.92 and 7,436.16 is: 11,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748.16 : 29,617.92 = 7,436.16 : x
  2. Step 2: Convert to fraction form
    19,748.16/29,617.92 = 7,436.16/x
  3. Step 3: Cross multiply
    19,748.16x = 29,617.92 × 7,436.16
  4. Step 4: Simplify right side
    19,748.16x = 220,243,591.99
  5. Step 5: Solve for x
    x = 220,243,591.99/19,748.16
  6. Step 6: Final answer
    x = 11,152.61

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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.