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Finding the Fourth Proportional to 7,697.88, 11,554.98 and 6,254.46

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Solution

The fourth proportional to 7,697.88, 11,554.98 and 6,254.46 is: 9,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.88 : 11,554.98 = 6,254.46 : x
  2. Step 2: Convert to fraction form
    7,697.88/11,554.98 = 6,254.46/x
  3. Step 3: Cross multiply
    7,697.88x = 11,554.98 × 6,254.46
  4. Step 4: Simplify right side
    7,697.88x = 72,270,160.21
  5. Step 5: Solve for x
    x = 72,270,160.21/7,697.88
  6. Step 6: Final answer
    x = 9,388.32

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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.