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Finding the Fourth Proportional to 9,597.66, 14,404.41 and 7,419.66

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Solution

The fourth proportional to 9,597.66, 14,404.41 and 7,419.66 is: 11,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.66 : 14,404.41 = 7,419.66 : x
  2. Step 2: Convert to fraction form
    9,597.66/14,404.41 = 7,419.66/x
  3. Step 3: Cross multiply
    9,597.66x = 14,404.41 × 7,419.66
  4. Step 4: Simplify right side
    9,597.66x = 106,875,824.70
  5. Step 5: Solve for x
    x = 106,875,824.70/9,597.66
  6. Step 6: Final answer
    x = 11,135.61

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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.