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Finding the Fourth Proportional to 7,745.63, 11,597.18 and 5,407.97

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Solution

The fourth proportional to 7,745.63, 11,597.18 and 5,407.97 is: 8,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.63 : 11,597.18 = 5,407.97 : x
  2. Step 2: Convert to fraction form
    7,745.63/11,597.18 = 5,407.97/x
  3. Step 3: Cross multiply
    7,745.63x = 11,597.18 × 5,407.97
  4. Step 4: Simplify right side
    7,745.63x = 62,717,116.50
  5. Step 5: Solve for x
    x = 62,717,116.50/7,745.63
  6. Step 6: Final answer
    x = 8,097.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.