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Finding the Fourth Proportional to 10,813.70, 14,922.97 and 6,034.10

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Solution

The fourth proportional to 10,813.70, 14,922.97 and 6,034.10 is: 8,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.70 : 14,922.97 = 6,034.10 : x
  2. Step 2: Convert to fraction form
    10,813.70/14,922.97 = 6,034.10/x
  3. Step 3: Cross multiply
    10,813.70x = 14,922.97 × 6,034.10
  4. Step 4: Simplify right side
    10,813.70x = 90,046,603.58
  5. Step 5: Solve for x
    x = 90,046,603.58/10,813.70
  6. Step 6: Final answer
    x = 8,327.08

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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.