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Finding the Fourth Proportional to 9,243.32, 12,755.76 and 5,051.60

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Solution

The fourth proportional to 9,243.32, 12,755.76 and 5,051.60 is: 6,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.32 : 12,755.76 = 5,051.60 : x
  2. Step 2: Convert to fraction form
    9,243.32/12,755.76 = 5,051.60/x
  3. Step 3: Cross multiply
    9,243.32x = 12,755.76 × 5,051.60
  4. Step 4: Simplify right side
    9,243.32x = 64,436,997.22
  5. Step 5: Solve for x
    x = 64,436,997.22/9,243.32
  6. Step 6: Final answer
    x = 6,971.20

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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.