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Finding the Fourth Proportional to 8,273.16, 12,407.70 and 4,942.32

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Solution

The fourth proportional to 8,273.16, 12,407.70 and 4,942.32 is: 7,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.16 : 12,407.70 = 4,942.32 : x
  2. Step 2: Convert to fraction form
    8,273.16/12,407.70 = 4,942.32/x
  3. Step 3: Cross multiply
    8,273.16x = 12,407.70 × 4,942.32
  4. Step 4: Simplify right side
    8,273.16x = 61,322,823.86
  5. Step 5: Solve for x
    x = 61,322,823.86/8,273.16
  6. Step 6: Final answer
    x = 7,412.26

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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.