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Finding the Fourth Proportional to 8,223.70, 11,539.10 and 8,223.70

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Solution

The fourth proportional to 8,223.70, 11,539.10 and 8,223.70 is: 11,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.70 : 11,539.10 = 8,223.70 : x
  2. Step 2: Convert to fraction form
    8,223.70/11,539.10 = 8,223.70/x
  3. Step 3: Cross multiply
    8,223.70x = 11,539.10 × 8,223.70
  4. Step 4: Simplify right side
    8,223.70x = 94,894,096.67
  5. Step 5: Solve for x
    x = 94,894,096.67/8,223.70
  6. Step 6: Final answer
    x = 11,539.10

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.