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Finding the Fourth Proportional to 13,294.24, 18,340.08 and 7,702.24

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Solution

The fourth proportional to 13,294.24, 18,340.08 and 7,702.24 is: 10,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.24 : 18,340.08 = 7,702.24 : x
  2. Step 2: Convert to fraction form
    13,294.24/18,340.08 = 7,702.24/x
  3. Step 3: Cross multiply
    13,294.24x = 18,340.08 × 7,702.24
  4. Step 4: Simplify right side
    13,294.24x = 141,259,697.78
  5. Step 5: Solve for x
    x = 141,259,697.78/13,294.24
  6. Step 6: Final answer
    x = 10,625.63

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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.