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Finding the Fourth Proportional to 7,755.50, 11,573.69 and 6,925.10

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Solution

The fourth proportional to 7,755.50, 11,573.69 and 6,925.10 is: 10,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.50 : 11,573.69 = 6,925.10 : x
  2. Step 2: Convert to fraction form
    7,755.50/11,573.69 = 6,925.10/x
  3. Step 3: Cross multiply
    7,755.50x = 11,573.69 × 6,925.10
  4. Step 4: Simplify right side
    7,755.50x = 80,148,868.13
  5. Step 5: Solve for x
    x = 80,148,868.13/7,755.50
  6. Step 6: Final answer
    x = 10,334.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.