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Finding the Fourth Proportional to 9,885.57, 13,625.46 and 7,494.75

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Solution

The fourth proportional to 9,885.57, 13,625.46 and 7,494.75 is: 10,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.57 : 13,625.46 = 7,494.75 : x
  2. Step 2: Convert to fraction form
    9,885.57/13,625.46 = 7,494.75/x
  3. Step 3: Cross multiply
    9,885.57x = 13,625.46 × 7,494.75
  4. Step 4: Simplify right side
    9,885.57x = 102,119,416.34
  5. Step 5: Solve for x
    x = 102,119,416.34/9,885.57
  6. Step 6: Final answer
    x = 10,330.15

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.