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Finding the Fourth Proportional to 8,946.93, 12,344.78 and 5,410.07

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Solution

The fourth proportional to 8,946.93, 12,344.78 and 5,410.07 is: 7,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.93 : 12,344.78 = 5,410.07 : x
  2. Step 2: Convert to fraction form
    8,946.93/12,344.78 = 5,410.07/x
  3. Step 3: Cross multiply
    8,946.93x = 12,344.78 × 5,410.07
  4. Step 4: Simplify right side
    8,946.93x = 66,786,035.16
  5. Step 5: Solve for x
    x = 66,786,035.16/8,946.93
  6. Step 6: Final answer
    x = 7,464.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.