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Finding the Fourth Proportional to 7,697.88, 10,623.40 and 4,340.84

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Solution

The fourth proportional to 7,697.88, 10,623.40 and 4,340.84 is: 5,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.88 : 10,623.40 = 4,340.84 : x
  2. Step 2: Convert to fraction form
    7,697.88/10,623.40 = 4,340.84/x
  3. Step 3: Cross multiply
    7,697.88x = 10,623.40 × 4,340.84
  4. Step 4: Simplify right side
    7,697.88x = 46,114,479.66
  5. Step 5: Solve for x
    x = 46,114,479.66/7,697.88
  6. Step 6: Final answer
    x = 5,990.54

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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.