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Finding the Fourth Proportional to 19,293.76, 28,946.12 and 6,147.16

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Solution

The fourth proportional to 19,293.76, 28,946.12 and 6,147.16 is: 9,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,293.76 : 28,946.12 = 6,147.16 : x
  2. Step 2: Convert to fraction form
    19,293.76/28,946.12 = 6,147.16/x
  3. Step 3: Cross multiply
    19,293.76x = 28,946.12 × 6,147.16
  4. Step 4: Simplify right side
    19,293.76x = 177,936,431.02
  5. Step 5: Solve for x
    x = 177,936,431.02/19,293.76
  6. Step 6: Final answer
    x = 9,222.49

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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.