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Finding the Fourth Proportional to 12,352.77, 17,046.77 and 7,047.58

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Solution

The fourth proportional to 12,352.77, 17,046.77 and 7,047.58 is: 9,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.77 : 17,046.77 = 7,047.58 : x
  2. Step 2: Convert to fraction form
    12,352.77/17,046.77 = 7,047.58/x
  3. Step 3: Cross multiply
    12,352.77x = 17,046.77 × 7,047.58
  4. Step 4: Simplify right side
    12,352.77x = 120,138,475.32
  5. Step 5: Solve for x
    x = 120,138,475.32/12,352.77
  6. Step 6: Final answer
    x = 9,725.63

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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.