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Finding the Fourth Proportional to 10,813.66, 14,922.85 and 6,097.94

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Solution

The fourth proportional to 10,813.66, 14,922.85 and 6,097.94 is: 8,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.66 : 14,922.85 = 6,097.94 : x
  2. Step 2: Convert to fraction form
    10,813.66/14,922.85 = 6,097.94/x
  3. Step 3: Cross multiply
    10,813.66x = 14,922.85 × 6,097.94
  4. Step 4: Simplify right side
    10,813.66x = 90,998,621.46
  5. Step 5: Solve for x
    x = 90,998,621.46/10,813.66
  6. Step 6: Final answer
    x = 8,415.16

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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.