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Finding the Fourth Proportional to 12,734.30, 17,573.28 and 7,069.07

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Solution

The fourth proportional to 12,734.30, 17,573.28 and 7,069.07 is: 9,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.30 : 17,573.28 = 7,069.07 : x
  2. Step 2: Convert to fraction form
    12,734.30/17,573.28 = 7,069.07/x
  3. Step 3: Cross multiply
    12,734.30x = 17,573.28 × 7,069.07
  4. Step 4: Simplify right side
    12,734.30x = 124,226,746.45
  5. Step 5: Solve for x
    x = 124,226,746.45/12,734.30
  6. Step 6: Final answer
    x = 9,755.29

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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.