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Finding the Fourth Proportional to 9,974.34, 14,961.51 and 4,779

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Solution

The fourth proportional to 9,974.34, 14,961.51 and 4,779 is: 7,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.34 : 14,961.51 = 4,779 : x
  2. Step 2: Convert to fraction form
    9,974.34/14,961.51 = 4,779/x
  3. Step 3: Cross multiply
    9,974.34x = 14,961.51 × 4,779
  4. Step 4: Simplify right side
    9,974.34x = 71,501,056.29
  5. Step 5: Solve for x
    x = 71,501,056.29/9,974.34
  6. Step 6: Final answer
    x = 7,168.50

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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.