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Finding the Fourth Proportional to 9,617.58, 14,388.44 and 7,284.32

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Solution

The fourth proportional to 9,617.58, 14,388.44 and 7,284.32 is: 10,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.58 : 14,388.44 = 7,284.32 : x
  2. Step 2: Convert to fraction form
    9,617.58/14,388.44 = 7,284.32/x
  3. Step 3: Cross multiply
    9,617.58x = 14,388.44 × 7,284.32
  4. Step 4: Simplify right side
    9,617.58x = 104,810,001.26
  5. Step 5: Solve for x
    x = 104,810,001.26/9,617.58
  6. Step 6: Final answer
    x = 10,897.75

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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.