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Finding the Fourth Proportional to 12,702.17, 19,050.19 and 5,302.62

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Solution

The fourth proportional to 12,702.17, 19,050.19 and 5,302.62 is: 7,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.17 : 19,050.19 = 5,302.62 : x
  2. Step 2: Convert to fraction form
    12,702.17/19,050.19 = 5,302.62/x
  3. Step 3: Cross multiply
    12,702.17x = 19,050.19 × 5,302.62
  4. Step 4: Simplify right side
    12,702.17x = 101,015,918.50
  5. Step 5: Solve for x
    x = 101,015,918.50/12,702.17
  6. Step 6: Final answer
    x = 7,952.65

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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.