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Finding the Fourth Proportional to 9,617.61, 14,388.46 and 7,284.34

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Solution

The fourth proportional to 9,617.61, 14,388.46 and 7,284.34 is: 10,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.61 : 14,388.46 = 7,284.34 : x
  2. Step 2: Convert to fraction form
    9,617.61/14,388.46 = 7,284.34/x
  3. Step 3: Cross multiply
    9,617.61x = 14,388.46 × 7,284.34
  4. Step 4: Simplify right side
    9,617.61x = 104,810,380.53
  5. Step 5: Solve for x
    x = 104,810,380.53/9,617.61
  6. Step 6: Final answer
    x = 10,897.76

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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.