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Finding the Fourth Proportional to 9,897.58, 13,654.74 and 5,917.24

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Solution

The fourth proportional to 9,897.58, 13,654.74 and 5,917.24 is: 8,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.58 : 13,654.74 = 5,917.24 : x
  2. Step 2: Convert to fraction form
    9,897.58/13,654.74 = 5,917.24/x
  3. Step 3: Cross multiply
    9,897.58x = 13,654.74 × 5,917.24
  4. Step 4: Simplify right side
    9,897.58x = 80,798,373.72
  5. Step 5: Solve for x
    x = 80,798,373.72/9,897.58
  6. Step 6: Final answer
    x = 8,163.45

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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.