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Finding the Fourth Proportional to 9,196.17, 12,703.64 and 8,201.13

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Solution

The fourth proportional to 9,196.17, 12,703.64 and 8,201.13 is: 11,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.17 : 12,703.64 = 8,201.13 : x
  2. Step 2: Convert to fraction form
    9,196.17/12,703.64 = 8,201.13/x
  3. Step 3: Cross multiply
    9,196.17x = 12,703.64 × 8,201.13
  4. Step 4: Simplify right side
    9,196.17x = 104,184,162.11
  5. Step 5: Solve for x
    x = 104,184,162.11/9,196.17
  6. Step 6: Final answer
    x = 11,329.08

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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.