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Finding the Fourth Proportional to 11,645.08, 16,093.02 and 10,349.08

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Solution

The fourth proportional to 11,645.08, 16,093.02 and 10,349.08 is: 14,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.08 : 16,093.02 = 10,349.08 : x
  2. Step 2: Convert to fraction form
    11,645.08/16,093.02 = 10,349.08/x
  3. Step 3: Cross multiply
    11,645.08x = 16,093.02 × 10,349.08
  4. Step 4: Simplify right side
    11,645.08x = 166,547,951.42
  5. Step 5: Solve for x
    x = 166,547,951.42/11,645.08
  6. Step 6: Final answer
    x = 14,302.00

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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.