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Finding the Fourth Proportional to 12,746.15, 17,590.87 and 7,711.60

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Solution

The fourth proportional to 12,746.15, 17,590.87 and 7,711.60 is: 10,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.15 : 17,590.87 = 7,711.60 : x
  2. Step 2: Convert to fraction form
    12,746.15/17,590.87 = 7,711.60/x
  3. Step 3: Cross multiply
    12,746.15x = 17,590.87 × 7,711.60
  4. Step 4: Simplify right side
    12,746.15x = 135,653,777.79
  5. Step 5: Solve for x
    x = 135,653,777.79/12,746.15
  6. Step 6: Final answer
    x = 10,642.73

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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.