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Finding the Fourth Proportional to 12,951.93, 17,873.68 and 7,647.08

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Solution

The fourth proportional to 12,951.93, 17,873.68 and 7,647.08 is: 10,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.93 : 17,873.68 = 7,647.08 : x
  2. Step 2: Convert to fraction form
    12,951.93/17,873.68 = 7,647.08/x
  3. Step 3: Cross multiply
    12,951.93x = 17,873.68 × 7,647.08
  4. Step 4: Simplify right side
    12,951.93x = 136,681,460.85
  5. Step 5: Solve for x
    x = 136,681,460.85/12,951.93
  6. Step 6: Final answer
    x = 10,552.98

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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.