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Finding the Fourth Proportional to 9,697.40, 14,546.10 and 9,044.60

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Solution

The fourth proportional to 9,697.40, 14,546.10 and 9,044.60 is: 13,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.40 : 14,546.10 = 9,044.60 : x
  2. Step 2: Convert to fraction form
    9,697.40/14,546.10 = 9,044.60/x
  3. Step 3: Cross multiply
    9,697.40x = 14,546.10 × 9,044.60
  4. Step 4: Simplify right side
    9,697.40x = 131,563,656.06
  5. Step 5: Solve for x
    x = 131,563,656.06/9,697.40
  6. Step 6: Final answer
    x = 13,566.90

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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.