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Finding the Fourth Proportional to 10,813.06, 14,922.05 and 6,097.42

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Solution

The fourth proportional to 10,813.06, 14,922.05 and 6,097.42 is: 8,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.06 : 14,922.05 = 6,097.42 : x
  2. Step 2: Convert to fraction form
    10,813.06/14,922.05 = 6,097.42/x
  3. Step 3: Cross multiply
    10,813.06x = 14,922.05 × 6,097.42
  4. Step 4: Simplify right side
    10,813.06x = 90,986,006.11
  5. Step 5: Solve for x
    x = 90,986,006.11/10,813.06
  6. Step 6: Final answer
    x = 8,414.45

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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.