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Finding the Fourth Proportional to 7,883.96, 11,827.54 and 2,953.48

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Solution

The fourth proportional to 7,883.96, 11,827.54 and 2,953.48 is: 4,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.96 : 11,827.54 = 2,953.48 : x
  2. Step 2: Convert to fraction form
    7,883.96/11,827.54 = 2,953.48/x
  3. Step 3: Cross multiply
    7,883.96x = 11,827.54 × 2,953.48
  4. Step 4: Simplify right side
    7,883.96x = 34,932,402.84
  5. Step 5: Solve for x
    x = 34,932,402.84/7,883.96
  6. Step 6: Final answer
    x = 4,430.82

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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.