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Finding the Fourth Proportional to 11,702.84, 17,548.86 and 4,676.93

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Solution

The fourth proportional to 11,702.84, 17,548.86 and 4,676.93 is: 7,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.84 : 17,548.86 = 4,676.93 : x
  2. Step 2: Convert to fraction form
    11,702.84/17,548.86 = 4,676.93/x
  3. Step 3: Cross multiply
    11,702.84x = 17,548.86 × 4,676.93
  4. Step 4: Simplify right side
    11,702.84x = 82,074,702.06
  5. Step 5: Solve for x
    x = 82,074,702.06/11,702.84
  6. Step 6: Final answer
    x = 7,013.23

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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.