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Finding the Fourth Proportional to 9,610.47, 14,416.22 and 9,084.57

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Solution

The fourth proportional to 9,610.47, 14,416.22 and 9,084.57 is: 13,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.47 : 14,416.22 = 9,084.57 : x
  2. Step 2: Convert to fraction form
    9,610.47/14,416.22 = 9,084.57/x
  3. Step 3: Cross multiply
    9,610.47x = 14,416.22 × 9,084.57
  4. Step 4: Simplify right side
    9,610.47x = 130,965,159.73
  5. Step 5: Solve for x
    x = 130,965,159.73/9,610.47
  6. Step 6: Final answer
    x = 13,627.34

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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.