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Finding the Fourth Proportional to 7,733.70, 11,600.55 and 6,810.30

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Solution

The fourth proportional to 7,733.70, 11,600.55 and 6,810.30 is: 10,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.70 : 11,600.55 = 6,810.30 : x
  2. Step 2: Convert to fraction form
    7,733.70/11,600.55 = 6,810.30/x
  3. Step 3: Cross multiply
    7,733.70x = 11,600.55 × 6,810.30
  4. Step 4: Simplify right side
    7,733.70x = 79,003,225.67
  5. Step 5: Solve for x
    x = 79,003,225.67/7,733.70
  6. Step 6: Final answer
    x = 10,215.45

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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.