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Finding the Fourth Proportional to 9,395.34, 14,093 and 7,638.24

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Solution

The fourth proportional to 9,395.34, 14,093 and 7,638.24 is: 11,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.34 : 14,093 = 7,638.24 : x
  2. Step 2: Convert to fraction form
    9,395.34/14,093 = 7,638.24/x
  3. Step 3: Cross multiply
    9,395.34x = 14,093 × 7,638.24
  4. Step 4: Simplify right side
    9,395.34x = 107,645,716.32
  5. Step 5: Solve for x
    x = 107,645,716.32/9,395.34
  6. Step 6: Final answer
    x = 11,457.35

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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.