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Finding the Fourth Proportional to 12,702.72, 19,060.58 and 6,046.74

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Solution

The fourth proportional to 12,702.72, 19,060.58 and 6,046.74 is: 9,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.72 : 19,060.58 = 6,046.74 : x
  2. Step 2: Convert to fraction form
    12,702.72/19,060.58 = 6,046.74/x
  3. Step 3: Cross multiply
    12,702.72x = 19,060.58 × 6,046.74
  4. Step 4: Simplify right side
    12,702.72x = 115,254,371.51
  5. Step 5: Solve for x
    x = 115,254,371.51/12,702.72
  6. Step 6: Final answer
    x = 9,073.20

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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.