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Finding the Fourth Proportional to 7,733.08, 10,654.14 and 7,364.44

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Solution

The fourth proportional to 7,733.08, 10,654.14 and 7,364.44 is: 10,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.08 : 10,654.14 = 7,364.44 : x
  2. Step 2: Convert to fraction form
    7,733.08/10,654.14 = 7,364.44/x
  3. Step 3: Cross multiply
    7,733.08x = 10,654.14 × 7,364.44
  4. Step 4: Simplify right side
    7,733.08x = 78,461,774.78
  5. Step 5: Solve for x
    x = 78,461,774.78/7,733.08
  6. Step 6: Final answer
    x = 10,146.25

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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.