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Finding the Fourth Proportional to 9,022.70, 13,534.05 and 6,835.70

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Solution

The fourth proportional to 9,022.70, 13,534.05 and 6,835.70 is: 10,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.70 : 13,534.05 = 6,835.70 : x
  2. Step 2: Convert to fraction form
    9,022.70/13,534.05 = 6,835.70/x
  3. Step 3: Cross multiply
    9,022.70x = 13,534.05 × 6,835.70
  4. Step 4: Simplify right side
    9,022.70x = 92,514,705.59
  5. Step 5: Solve for x
    x = 92,514,705.59/9,022.70
  6. Step 6: Final answer
    x = 10,253.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.