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Finding the Fourth Proportional to 9,897.66, 13,650.39 and 6,703.74

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Solution

The fourth proportional to 9,897.66, 13,650.39 and 6,703.74 is: 9,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.66 : 13,650.39 = 6,703.74 : x
  2. Step 2: Convert to fraction form
    9,897.66/13,650.39 = 6,703.74/x
  3. Step 3: Cross multiply
    9,897.66x = 13,650.39 × 6,703.74
  4. Step 4: Simplify right side
    9,897.66x = 91,508,665.46
  5. Step 5: Solve for x
    x = 91,508,665.46/9,897.66
  6. Step 6: Final answer
    x = 9,245.48

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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.