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Finding the Fourth Proportional to 8,294.84, 11,445.58 and 5,151

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Solution

The fourth proportional to 8,294.84, 11,445.58 and 5,151 is: 7,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.84 : 11,445.58 = 5,151 : x
  2. Step 2: Convert to fraction form
    8,294.84/11,445.58 = 5,151/x
  3. Step 3: Cross multiply
    8,294.84x = 11,445.58 × 5,151
  4. Step 4: Simplify right side
    8,294.84x = 58,956,182.58
  5. Step 5: Solve for x
    x = 58,956,182.58/8,294.84
  6. Step 6: Final answer
    x = 7,107.57

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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.